(3x-7)(3x+12)=

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Solution for (3x-7)(3x+12)= equation: 


Simplifying
(3x + -7)(3x + 12) = 0

Reorder the terms:
(-7 + 3x)(3x + 12) = 0

Reorder the terms:
(-7 + 3x)(12 + 3x) = 0

Multiply (-7 + 3x) * (12 + 3x)
(-7(12 + 3x) + 3x * (12 + 3x)) = 0
((12 * -7 + 3x * -7) + 3x * (12 + 3x)) = 0
((-84 + -21x) + 3x * (12 + 3x)) = 0
(-84 + -21x + (12 * 3x + 3x * 3x)) = 0
(-84 + -21x + (36x + 9x2)) = 0

Combine like terms: -21x + 36x = 15x
(-84 + 15x + 9x2) = 0

Solving
-84 + 15x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-28 + 5x + 3x2) = 0

Factor a trinomial.
3((-4 + -1x)(7 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-4, 2.333333333}

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