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Simplifying
(4x + 2)(4x + -2) = 0
Reorder the terms:
(2 + 4x)(4x + -2) = 0
Reorder the terms:
(2 + 4x)(-2 + 4x) = 0
Multiply (2 + 4x) * (-2 + 4x)
(2(-2 + 4x) + 4x * (-2 + 4x)) = 0
((-2 * 2 + 4x * 2) + 4x * (-2 + 4x)) = 0
((-4 + 8x) + 4x * (-2 + 4x)) = 0
(-4 + 8x + (-2 * 4x + 4x * 4x)) = 0
(-4 + 8x + (-8x + 16x2)) = 0
Combine like terms: 8x + -8x = 0
(-4 + 0 + 16x2) = 0
(-4 + 16x2) = 0
Solving
-4 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 16x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 16x2 = 0 + 4
16x2 = 0 + 4
Combine like terms: 0 + 4 = 4
16x2 = 4
Divide each side by '16'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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