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What is the solution to 4|0.5x – 2.5| = 0?

Guest May 7, 2017
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Solve for x over the real numbers:
4 abs(0.5 x - 2.5) = 0

4 abs(0.5 x - 2.5) = 4 abs(x/2 - 5/2):
4 abs(x/2 - 5/2) = 0

Divide both sides by 4:
abs(x/2 - 5/2) = 0

Eliminate the absolute value:
1 (x/2 - 5/2) = 0

Divide both sides by 1:
x/2 - 5/2 = 0

Bring x/2 - 5/2 together using the common denominator 2:
(x - 5)/2 = 0

Multiply both sides by 2:
x - 5 = 0

Add 5 to both sides:
Answer: | x = 5

Guest May 7, 2017

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