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Simplifying (8x + 9)(8x + 9) = 0 Reorder the terms: (9 + 8x)(8x + 9) = 0 Reorder the terms: (9 + 8x)(9 + 8x) = 0 Multiply (9 + 8x) * (9 + 8x) (9(9 + 8x) + 8x * (9 + 8x)) = 0 ((9 * 9 + 8x * 9) + 8x * (9 + 8x)) = 0 ((81 + 72x) + 8x * (9 + 8x)) = 0 (81 + 72x + (9 * 8x + 8x * 8x)) = 0 (81 + 72x + (72x + 64x2)) = 0 Combine like terms: 72x + 72x = 144x (81 + 144x + 64x2) = 0 Solving 81 + 144x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 8x)(9 + 8x) = 0Subproblem 1
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {-1.125, -1.125}
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