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Simplifying 0 = (9x + 8)(9x + -8) Reorder the terms: 0 = (8 + 9x)(9x + -8) Reorder the terms: 0 = (8 + 9x)(-8 + 9x) Multiply (8 + 9x) * (-8 + 9x) 0 = (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)) Combine like terms: 72x + -72x = 0 0 = (-64 + 0 + 81x2) 0 = (-64 + 81x2) Solving 0 = -64 + 81x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x2' to each side of the equation. 0 + -81x2 = -64 + 81x2 + -81x2 Remove the zero: -81x2 = -64 + 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 -81x2 = -64 + 0 -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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