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Simplifying
(9x + -8)(9x + 8) = 0
Reorder the terms:
(-8 + 9x)(9x + 8) = 0
Reorder the terms:
(-8 + 9x)(8 + 9x) = 0
Multiply (-8 + 9x) * (8 + 9x)
(-8(8 + 9x) + 9x * (8 + 9x)) = 0
((8 * -8 + 9x * -8) + 9x * (8 + 9x)) = 0
((-64 + -72x) + 9x * (8 + 9x)) = 0
(-64 + -72x + (8 * 9x + 9x * 9x)) = 0
(-64 + -72x + (72x + 81x2)) = 0
Combine like terms: -72x + 72x = 0
(-64 + 0 + 81x2) = 0
(-64 + 81x2) = 0
Solving
-64 + 81x2 = 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 + 81x2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 81x2 = 0 + 64
81x2 = 0 + 64
Combine like terms: 0 + 64 = 64
81x2 = 64
Divide each side by '81'.
x2 = 0.7901234568
Simplifying
x2 = 0.7901234568
Take the square root of each side:
x = {-0.888888889, 0.888888889}
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