(3x+12)(9x-14)=

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Solution for (3x+12)(9x-14)= equation: 


Simplifying
(3x + 12)(9x + -14) = 0

Reorder the terms:
(12 + 3x)(9x + -14) = 0

Reorder the terms:
(12 + 3x)(-14 + 9x) = 0

Multiply (12 + 3x) * (-14 + 9x)
(12(-14 + 9x) + 3x * (-14 + 9x)) = 0
((-14 * 12 + 9x * 12) + 3x * (-14 + 9x)) = 0
((-168 + 108x) + 3x * (-14 + 9x)) = 0
(-168 + 108x + (-14 * 3x + 9x * 3x)) = 0
(-168 + 108x + (-42x + 27x2)) = 0

Combine like terms: 108x + -42x = 66x
(-168 + 66x + 27x2) = 0

Solving
-168 + 66x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + 22x + 9x2) = 0

Factor a trinomial.
3((-4 + -1x)(14 + -9x)) = 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 '(14 + -9x)' equal to zero and attempt to solve:

Simplifying
14 + -9x = 0

Solving
14 + -9x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -9x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = 0 + -14
-9x = 0 + -14

Combine like terms: 0 + -14 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556
Solution
x = {-4, 1.555555556}

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