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Simplifying
5(2x + -4)(x + 2) = 0
Reorder the terms:
5(-4 + 2x)(x + 2) = 0
Reorder the terms:
5(-4 + 2x)(2 + x) = 0
Multiply (-4 + 2x) * (2 + x)
5(-4(2 + x) + 2x * (2 + x)) = 0
5((2 * -4 + x * -4) + 2x * (2 + x)) = 0
5((-8 + -4x) + 2x * (2 + x)) = 0
5(-8 + -4x + (2 * 2x + x * 2x)) = 0
5(-8 + -4x + (4x + 2x2)) = 0
Combine like terms: -4x + 4x = 0
5(-8 + 0 + 2x2) = 0
5(-8 + 2x2) = 0
(-8 * 5 + 2x2 * 5) = 0
(-40 + 10x2) = 0
Solving
-40 + 10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '40' to each side of the equation.
-40 + 40 + 10x2 = 0 + 40
Combine like terms: -40 + 40 = 0
0 + 10x2 = 0 + 40
10x2 = 0 + 40
Combine like terms: 0 + 40 = 40
10x2 = 40
Divide each side by '10'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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