x^2=x(84)

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Solution for x^2=x(84) equation:


Simplifying
x2 = x(84)

Reorder the terms for easier multiplication:
x2 = 84x

Solving
x2 = 84x

Solving for variable 'x'.

Reorder the terms:
-84x + x2 = 84x + -84x

Combine like terms: 84x + -84x = 0
-84x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-84 + 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 '(-84 + x)' equal to zero and attempt to solve: Simplifying -84 + x = 0 Solving -84 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + x = 0 + 84 x = 0 + 84 Combine like terms: 0 + 84 = 84 x = 84 Simplifying x = 84

Solution

x = {0, 84}

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