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Simplifying (9x + 8)(9x + 8) = 81x2 + 64 Reorder the terms: (8 + 9x)(9x + 8) = 81x2 + 64 Reorder the terms: (8 + 9x)(8 + 9x) = 81x2 + 64 Multiply (8 + 9x) * (8 + 9x) (8(8 + 9x) + 9x * (8 + 9x)) = 81x2 + 64 ((8 * 8 + 9x * 8) + 9x * (8 + 9x)) = 81x2 + 64 ((64 + 72x) + 9x * (8 + 9x)) = 81x2 + 64 (64 + 72x + (8 * 9x + 9x * 9x)) = 81x2 + 64 (64 + 72x + (72x + 81x2)) = 81x2 + 64 Combine like terms: 72x + 72x = 144x (64 + 144x + 81x2) = 81x2 + 64 Reorder the terms: 64 + 144x + 81x2 = 64 + 81x2 Add '-64' to each side of the equation. 64 + 144x + -64 + 81x2 = 64 + -64 + 81x2 Reorder the terms: 64 + -64 + 144x + 81x2 = 64 + -64 + 81x2 Combine like terms: 64 + -64 = 0 0 + 144x + 81x2 = 64 + -64 + 81x2 144x + 81x2 = 64 + -64 + 81x2 Combine like terms: 64 + -64 = 0 144x + 81x2 = 0 + 81x2 144x + 81x2 = 81x2 Add '-81x2' to each side of the equation. 144x + 81x2 + -81x2 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 144x + 0 = 81x2 + -81x2 144x = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 144x = 0 Solving 144x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '144'. x = 0 Simplifying x = 0
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