(12x+6)(13x-1)=

Solution for (12x+6)(13x-1)= equation:

Simplifying
(12x + 6)(13x + -1) = 0

Reorder the terms:
(6 + 12x)(13x + -1) = 0

Reorder the terms:
(6 + 12x)(-1 + 13x) = 0

Multiply (6 + 12x) * (-1 + 13x)
(6(-1 + 13x) + 12x * (-1 + 13x)) = 0
((-1 * 6 + 13x * 6) + 12x * (-1 + 13x)) = 0
((-6 + 78x) + 12x * (-1 + 13x)) = 0
(-6 + 78x + (-1 * 12x + 13x * 12x)) = 0
(-6 + 78x + (-12x + 156x2)) = 0

Combine like terms: 78x + -12x = 66x
(-6 + 66x + 156x2) = 0

Solving
-6 + 66x + 156x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 11x + 26x2) = 0

Factor a trinomial.
6((-1 + -2x)(1 + -13x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(1 + -13x)' equal to zero and attempt to solve:

Simplifying
1 + -13x = 0

Solving
1 + -13x = 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 + -13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = 0 + -1
-13x = 0 + -1

Combine like terms: 0 + -1 = -1
-13x = -1

Divide each side by '-13'.
x = 0.07692307692

Simplifying
x = 0.07692307692
Solution
x = {-0.5, 0.07692307692}