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Simplifying
(2x + -4)(x + 2) = 0
Reorder the terms:
(-4 + 2x)(x + 2) = 0
Reorder the terms:
(-4 + 2x)(2 + x) = 0
Multiply (-4 + 2x) * (2 + x)
(-4(2 + x) + 2x * (2 + x)) = 0
((2 * -4 + x * -4) + 2x * (2 + x)) = 0
((-8 + -4x) + 2x * (2 + x)) = 0
(-8 + -4x + (2 * 2x + x * 2x)) = 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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