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Simplifying 45 = (2x + -1)(x) Reorder the terms: 45 = (-1 + 2x)(x) Reorder the terms for easier multiplication: 45 = x(-1 + 2x) 45 = (-1 * x + 2x * x) 45 = (-1x + 2x2) Solving 45 = -1x + 2x2 Solving for variable 'x'. Reorder the terms: 45 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 45 + x + -2x2 = 0 + 2x2 + -2x2 45 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 45 + x + -2x2 = 0 Factor a trinomial. (5 + -1x)(9 + 2x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 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 = {5, -4.5}
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