(4x+2)(x-6)=

Solution for (4x+2)(x-6)= equation:

Simplifying
(4x + 2)(x + -6) = 0

Reorder the terms:
(2 + 4x)(x + -6) = 0

Reorder the terms:
(2 + 4x)(-6 + x) = 0

Multiply (2 + 4x) * (-6 + x)
(2(-6 + x) + 4x * (-6 + x)) = 0
((-6 * 2 + x * 2) + 4x * (-6 + x)) = 0
((-12 + 2x) + 4x * (-6 + x)) = 0
(-12 + 2x + (-6 * 4x + x * 4x)) = 0
(-12 + 2x + (-24x + 4x2)) = 0

Combine like terms: 2x + -24x = -22x
(-12 + -22x + 4x2) = 0

Solving
-12 + -22x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -11x + 2x2) = 0

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

Ignore the factor 2.
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 '(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 = {-0.5, 6}