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Simplifying (2x + -9)(2x + -9) = 0 Reorder the terms: (-9 + 2x)(2x + -9) = 0 Reorder the terms: (-9 + 2x)(-9 + 2x) = 0 Multiply (-9 + 2x) * (-9 + 2x) (-9(-9 + 2x) + 2x * (-9 + 2x)) = 0 ((-9 * -9 + 2x * -9) + 2x * (-9 + 2x)) = 0 ((81 + -18x) + 2x * (-9 + 2x)) = 0 (81 + -18x + (-9 * 2x + 2x * 2x)) = 0 (81 + -18x + (-18x + 4x2)) = 0 Combine like terms: -18x + -18x = -36x (81 + -36x + 4x2) = 0 Solving 81 + -36x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {4.5, 4.5}
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