2(x-6)(7x-12)=0

Solution for 2(x-6)(7x-12)=0 equation:

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

Reorder the terms:
2(-6 + x)(7x + -12) = 0

Reorder the terms:
2(-6 + x)(-12 + 7x) = 0

Multiply (-6 + x) * (-12 + 7x)
2(-6(-12 + 7x) + x(-12 + 7x)) = 0
2((-12 * -6 + 7x * -6) + x(-12 + 7x)) = 0
2((72 + -42x) + x(-12 + 7x)) = 0
2(72 + -42x + (-12 * x + 7x * x)) = 0
2(72 + -42x + (-12x + 7x2)) = 0

Combine like terms: -42x + -12x = -54x
2(72 + -54x + 7x2) = 0
(72 * 2 + -54x * 2 + 7x2 * 2) = 0
(144 + -108x + 14x2) = 0

Solving
144 + -108x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + -54x + 7x2) = 0

Factor a trinomial.
2((12 + -7x)(6 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {1.714285714, 6}