(4x+142)(6x-6)=0

Solution for (4x+142)(6x-6)=0 equation:

Simplifying
(4x + 142)(6x + -6) = 0

Reorder the terms:
(142 + 4x)(6x + -6) = 0

Reorder the terms:
(142 + 4x)(-6 + 6x) = 0

Multiply (142 + 4x) * (-6 + 6x)
(142(-6 + 6x) + 4x * (-6 + 6x)) = 0
((-6 * 142 + 6x * 142) + 4x * (-6 + 6x)) = 0
((-852 + 852x) + 4x * (-6 + 6x)) = 0
(-852 + 852x + (-6 * 4x + 6x * 4x)) = 0
(-852 + 852x + (-24x + 24x2)) = 0

Combine like terms: 852x + -24x = 828x
(-852 + 828x + 24x2) = 0

Solving
-852 + 828x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-71 + 69x + 2x2) = 0

Factor a trinomial.
12((-71 + -2x)(1 + -1x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-71 + -2x)' equal to zero and attempt to solve:

Simplifying
-71 + -2x = 0

Solving
-71 + -2x = 0

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

Add '71' to each side of the equation.
-71 + 71 + -2x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + -2x = 0 + 71
-2x = 0 + 71

Combine like terms: 0 + 71 = 71
-2x = 71

Divide each side by '-2'.
x = -35.5

Simplifying
x = -35.5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-35.5, 1}