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

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


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

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

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

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

Combine like terms: -4x + 4x = 0
(-8 + 0 + 2x2) = 0
(-8 + 2x2) = 0

Solving
-8 + 2x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2x2 = 0 + 8
2x2 = 0 + 8

Combine like terms: 0 + 8 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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