x^2=10x

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Solution for x^2=10x equation:


Simplifying
x2 = 10x

Solving
x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + x) = 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10

Solution

x = {0, 10}

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