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Simplifying
(8x + -3)(8x + 3) = 0
Reorder the terms:
(-3 + 8x)(8x + 3) = 0
Reorder the terms:
(-3 + 8x)(3 + 8x) = 0
Multiply (-3 + 8x) * (3 + 8x)
(-3(3 + 8x) + 8x * (3 + 8x)) = 0
((3 * -3 + 8x * -3) + 8x * (3 + 8x)) = 0
((-9 + -24x) + 8x * (3 + 8x)) = 0
(-9 + -24x + (3 * 8x + 8x * 8x)) = 0
(-9 + -24x + (24x + 64x2)) = 0
Combine like terms: -24x + 24x = 0
(-9 + 0 + 64x2) = 0
(-9 + 64x2) = 0
Solving
-9 + 64x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 64x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 64x2 = 0 + 9
64x2 = 0 + 9
Combine like terms: 0 + 9 = 9
64x2 = 9
Divide each side by '64'.
x2 = 0.140625
Simplifying
x2 = 0.140625
Take the square root of each side:
x = {-0.375, 0.375}
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