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

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

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

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

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

Multiply (-6 + 4x) * (-2 + 4x)
(-6(-2 + 4x) + 4x * (-2 + 4x)) = 0
((-2 * -6 + 4x * -6) + 4x * (-2 + 4x)) = 0
((12 + -24x) + 4x * (-2 + 4x)) = 0
(12 + -24x + (-2 * 4x + 4x * 4x)) = 0
(12 + -24x + (-8x + 16x2)) = 0

Combine like terms: -24x + -8x = -32x
(12 + -32x + 16x2) = 0

Solving
12 + -32x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -8x + 4x2) = 0

Factor a trinomial.
4((1 + -2x)(3 + -2x)) = 0

Ignore the factor 4.
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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.5, 1.5}