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Simplifying 0 = 2x2 + -3x + -90 Reorder the terms: 0 = -90 + -3x + 2x2 Solving 0 = -90 + -3x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 90 = 90 90 + 3x + -2x2 = -90 + -3x + 2x2 + 90 + 3x + -2x2 Reorder the terms: 90 + 3x + -2x2 = -90 + 90 + -3x + 3x + 2x2 + -2x2 Combine like terms: -90 + 90 = 0 90 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2 90 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 90 + 3x + -2x2 = 0 + 2x2 + -2x2 90 + 3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 90 + 3x + -2x2 = 0 Factor a trinomial. (15 + -2x)(6 + x) = 0Subproblem 1
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {7.5, -6}
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