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Simplifying 9x + 45 = x2 + -3x Reorder the terms: 45 + 9x = x2 + -3x Reorder the terms: 45 + 9x = -3x + x2 Solving 45 + 9x = -3x + x2 Solving for variable 'x'. Combine like terms: 9x + 3x = 12x 45 + 12x + -1x2 = -3x + x2 + 3x + -1x2 Reorder the terms: 45 + 12x + -1x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 45 + 12x + -1x2 = 0 + x2 + -1x2 45 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + 12x + -1x2 = 0 Factor a trinomial. (15 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {15, -3}
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