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Simplifying (9x + -8)(9x + 8) = 9 Reorder the terms: (-8 + 9x)(9x + 8) = 9 Reorder the terms: (-8 + 9x)(8 + 9x) = 9 Multiply (-8 + 9x) * (8 + 9x) (-8(8 + 9x) + 9x * (8 + 9x)) = 9 ((8 * -8 + 9x * -8) + 9x * (8 + 9x)) = 9 ((-64 + -72x) + 9x * (8 + 9x)) = 9 (-64 + -72x + (8 * 9x + 9x * 9x)) = 9 (-64 + -72x + (72x + 81x2)) = 9 Combine like terms: -72x + 72x = 0 (-64 + 0 + 81x2) = 9 (-64 + 81x2) = 9 Solving -64 + 81x2 = 9 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 = 9 + 64 Combine like terms: -64 + 64 = 0 0 + 81x2 = 9 + 64 81x2 = 9 + 64 Combine like terms: 9 + 64 = 73 81x2 = 73 Divide each side by '81'. x2 = 0.9012345679 Simplifying x2 = 0.9012345679 Take the square root of each side: x = {-0.949333749, 0.949333749}
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