-x^2=36-12x

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Solution for -x^2=36-12x equation:


Simplifying
-1x2 = 36 + -12x

Solving
-1x2 = 36 + -12x

Solving for variable 'x'.

Reorder the terms:
-36 + 12x + -1x2 = 36 + -12x + -36 + 12x

Reorder the terms:
-36 + 12x + -1x2 = 36 + -36 + -12x + 12x

Combine like terms: 36 + -36 = 0
-36 + 12x + -1x2 = 0 + -12x + 12x
-36 + 12x + -1x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-36 + 12x + -1x2 = 0

Factor a trinomial.
(-6 + x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {6, 6}

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