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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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