(7x-5)(6x+12)=

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Solution for (7x-5)(6x+12)= equation: 


Simplifying
(7x + -5)(6x + 12) = 0

Reorder the terms:
(-5 + 7x)(6x + 12) = 0

Reorder the terms:
(-5 + 7x)(12 + 6x) = 0

Multiply (-5 + 7x) * (12 + 6x)
(-5(12 + 6x) + 7x * (12 + 6x)) = 0
((12 * -5 + 6x * -5) + 7x * (12 + 6x)) = 0
((-60 + -30x) + 7x * (12 + 6x)) = 0
(-60 + -30x + (12 * 7x + 6x * 7x)) = 0
(-60 + -30x + (84x + 42x2)) = 0

Combine like terms: -30x + 84x = 54x
(-60 + 54x + 42x2) = 0

Solving
-60 + 54x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + 9x + 7x2) = 0

Factor a trinomial.
6((-2 + -1x)(5 + -7x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-2, 0.7142857143}

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