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Simplifying
(4x + -8)(4x + 8) = 0
Reorder the terms:
(-8 + 4x)(4x + 8) = 0
Reorder the terms:
(-8 + 4x)(8 + 4x) = 0
Multiply (-8 + 4x) * (8 + 4x)
(-8(8 + 4x) + 4x * (8 + 4x)) = 0
((8 * -8 + 4x * -8) + 4x * (8 + 4x)) = 0
((-64 + -32x) + 4x * (8 + 4x)) = 0
(-64 + -32x + (8 * 4x + 4x * 4x)) = 0
(-64 + -32x + (32x + 16x2)) = 0
Combine like terms: -32x + 32x = 0
(-64 + 0 + 16x2) = 0
(-64 + 16x2) = 0
Solving
-64 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 16x2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 16x2 = 0 + 64
16x2 = 0 + 64
Combine like terms: 0 + 64 = 64
16x2 = 64
Divide each side by '16'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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