See the entire solution process below: Show First, divide each side of the equation by #color(red)(4)# to isolate the absolute value term while keeping the equation balanced: #(4abs(0.5x - 2.5))/color(red)(4) = 0/color(red)(4)# #(color(red)(cancel(color(black)(4)))abs(0.5x - 2.5))/cancel(color(red)(4)) = 0# #abs(0.5x - 2.5) = 0# The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent. However, because #0# has no positive or negative form we just need to solve: #0.5x - 2.5 = 0# Now, add #color(red)(2.5)# to each side of the equation to isolate the #x# term while keeping the equation balanced: #0.5x - 2.5 + color(red)(2.5) = 0 + color(red)(2.5)# #0.5x - 0 = 2.5# #0.5x = 2.5# Now, divide each side of the equation by #color(red)(0.5)# to solve for #x# while keeping the equation balanced: #(0.5x)/color(red)(0.5) = 2.5/color(red)(0.5)# #(color(red)(cancel(color(black)(0.5)))x)/cancel(color(red)(0.5)) = 5# #x = 5# Algebra ExamplesPopular Problems Algebra Find All Complex Solutions 4|0.5x-2.5|=0 Step 1 Factor out of . Tap for more steps... Factor out of . Factor out of . Factor out of . Step 2 Divide each term in by and simplify. Tap for more steps... Divide each term in by . Simplify the left side. Tap for more steps... Cancel the common factor of . Tap for more steps... Cancel the common factor. Divide by . Apply the distributive property. Multiply by . Simplify the right side. Tap for more steps... Divide by . Step 3 Remove the absolute value term. This creates a on the right side of the equation because . Step 4 Plus or minus is . Step 5 Add to both sides of the equation. Step 6 Divide each term in by and simplify. Tap for more steps... Divide each term in by . Simplify the left side. Tap for more steps... Cancel the common factor of . Tap for more steps... Cancel the common factor. Divide by . Simplify the right side. Tap for more steps... Divide by . 
+0 What is the solution to 4|0.5x – 2.5| = 0?0 4478 1 What is the solution to 4|0.5x – 2.5| = 0? Guest May 7, 2017 0 users composing answers..
1+0 Answers#1 +1 Solve for x over the real numbers: 4 abs(0.5 x - 2.5) = 4 abs(x/2 - 5/2): Divide both sides by 4: Eliminate the absolute value: Divide both sides by 1: Bring x/2 - 5/2 together using the
common denominator 2: Multiply both sides by 2: Add 5 to both sides: Guest May 7, 2017 32 Online UsersTop UsersSticky TopicsSome guidelines for question askers. What is Happening 5 Again a number puzzle. Multiply in writing. Loads of fun printable number and logic puzzles ¤¤¤¤Welcome To Web2.0calc¤¤¤¤ How to display latex properly Feature Questions 1 - Started 8th May 19 How to upload a picture. If a question is ticked that does not mean you cannot continue it. Should you consider anything before you answer a question? Geometry Thread PUZZLES LaTex Coding https://www.desmos.com/calculator/bsh9ex1zxj Historical post! What is happening? Wrap #4 Great Questions to Learn From 2 Great Answers to Learn From Reference Material Information for new people. What is the solution for 3 4?Therefore, 3/4 = 0.75.
What is the value of f 1 )?The value of f(-1) is 1.
What is the vertex of the graph of f/x 13 11?Summary: The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).
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What is the solution to 4 0.5 x 2.5 0
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