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

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


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

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

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

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

Combine like terms: -16x + -4x = -20x
(8 + -20x + 8x2) = 0

Solving
8 + -20x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -5x + 2x2) = 0

Factor a trinomial.
4((1 + -2x)(2 + -1x)) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.5, 2}

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