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

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


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

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

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

Combine like terms: 9x + -12x = -3x
(-36 + -3x + 3x2) = 0

Solving
-36 + -3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -1x + x2) = 0

Factor a trinomial.
3((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-3, 4}

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