x^2=2.5x

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Solution for x^2=2.5x equation:


Simplifying
x2 = 2.5x

Solving
x2 = 2.5x

Solving for variable 'x'.

Reorder the terms:
-2.5x + x2 = 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-2.5x + x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2.5 + x) = 0.0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2.5 + x)' equal to zero and attempt to solve: Simplifying -2.5 + x = 0 Solving -2.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 0 + 2.5 x = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 x = 2.5 Simplifying x = 2.5

Solution

x = {0, 2.5}

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