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Simplifying -2x2 = 11x + -30 Reorder the terms: -2x2 = -30 + 11x Solving -2x2 = -30 + 11x Solving for variable 'x'. Reorder the terms: 30 + -11x + -2x2 = -30 + 11x + 30 + -11x Reorder the terms: 30 + -11x + -2x2 = -30 + 30 + 11x + -11x Combine like terms: -30 + 30 = 0 30 + -11x + -2x2 = 0 + 11x + -11x 30 + -11x + -2x2 = 11x + -11x Combine like terms: 11x + -11x = 0 30 + -11x + -2x2 = 0 Factor a trinomial. (2 + -1x)(15 + 2x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
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 = -7.5Solution
x = {2, -7.5}
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