-7x^2=-84x

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Solution for -7x^2=-84x equation:


Simplifying
-7x2 = -84x

Solving
-7x2 = -84x

Solving for variable 'x'.

Reorder the terms:
84x + -7x2 = -84x + 84x

Combine like terms: -84x + 84x = 0
84x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(12 + -1x) = 0

Ignore the factor 7.

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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {0, 12}

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