x(x-6)=-3(4x+3)

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Solution for x(x-6)=-3(4x+3) equation:


Simplifying
x(x + -6) = -3(4x + 3)

Reorder the terms:
x(-6 + x) = -3(4x + 3)
(-6 * x + x * x) = -3(4x + 3)
(-6x + x2) = -3(4x + 3)

Reorder the terms:
-6x + x2 = -3(3 + 4x)
-6x + x2 = (3 * -3 + 4x * -3)
-6x + x2 = (-9 + -12x)

Solving
-6x + x2 = -9 + -12x

Solving for variable 'x'.

Reorder the terms:
9 + -6x + 12x + x2 = -9 + -12x + 9 + 12x

Combine like terms: -6x + 12x = 6x
9 + 6x + x2 = -9 + -12x + 9 + 12x

Reorder the terms:
9 + 6x + x2 = -9 + 9 + -12x + 12x

Combine like terms: -9 + 9 = 0
9 + 6x + x2 = 0 + -12x + 12x
9 + 6x + x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 6x + x2 = 0

Factor a trinomial.
(3 + x)(3 + x) = 0

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-3, -3}

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