(-3-3x)(3x+12)=0

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Solution for (-3-3x)(3x+12)=0 equation: 


Simplifying
(-3 + -3x)(3x + 12) = 0

Reorder the terms:
(-3 + -3x)(12 + 3x) = 0

Multiply (-3 + -3x) * (12 + 3x)
(-3(12 + 3x) + -3x * (12 + 3x)) = 0
((12 * -3 + 3x * -3) + -3x * (12 + 3x)) = 0
((-36 + -9x) + -3x * (12 + 3x)) = 0
(-36 + -9x + (12 * -3x + 3x * -3x)) = 0
(-36 + -9x + (-36x + -9x2)) = 0

Combine like terms: -9x + -36x = -45x
(-36 + -45x + -9x2) = 0

Solving
-36 + -45x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-9'.
-9(4 + 5x + x2) = 0

Factor a trinomial.
-9((4 + x)(1 + x)) = 0

Ignore the factor -9.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-4, -1}

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