x(x-12)=-12(2x+3)

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Solution for x(x-12)=-12(2x+3) equation:


Simplifying
x(x + -12) = -12(2x + 3)

Reorder the terms:
x(-12 + x) = -12(2x + 3)
(-12 * x + x * x) = -12(2x + 3)
(-12x + x2) = -12(2x + 3)

Reorder the terms:
-12x + x2 = -12(3 + 2x)
-12x + x2 = (3 * -12 + 2x * -12)
-12x + x2 = (-36 + -24x)

Solving
-12x + x2 = -36 + -24x

Solving for variable 'x'.

Reorder the terms:
36 + -12x + 24x + x2 = -36 + -24x + 36 + 24x

Combine like terms: -12x + 24x = 12x
36 + 12x + x2 = -36 + -24x + 36 + 24x

Reorder the terms:
36 + 12x + x2 = -36 + 36 + -24x + 24x

Combine like terms: -36 + 36 = 0
36 + 12x + x2 = 0 + -24x + 24x
36 + 12x + x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
36 + 12x + x2 = 0

Factor a trinomial.
(6 + x)(6 + x) = 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 + 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

Solution

x = {-6, -6}

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