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

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

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

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

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

Combine like terms: -24x + 2x = -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}