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

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Solution for (4x+2)(2x-4)=0 equation: 


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

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

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

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

Combine like terms: 4x + -16x = -12x
(-8 + -12x + 8x2) = 0

Solving
-8 + -12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3x + 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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