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Simplifying 2x2 = 9(x + -1) Reorder the terms: 2x2 = 9(-1 + x) 2x2 = (-1 * 9 + x * 9) 2x2 = (-9 + 9x) Solving 2x2 = -9 + 9x Solving for variable 'x'. Reorder the terms: 9 + -9x + 2x2 = -9 + 9x + 9 + -9x Reorder the terms: 9 + -9x + 2x2 = -9 + 9 + 9x + -9x Combine like terms: -9 + 9 = 0 9 + -9x + 2x2 = 0 + 9x + -9x 9 + -9x + 2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 9 + -9x + 2x2 = 0 Factor a trinomial. (3 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.5, 3}
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