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Simplifying -2x2 + 6x = -14x + -150 Reorder the terms: 6x + -2x2 = -14x + -150 Reorder the terms: 6x + -2x2 = -150 + -14x Solving 6x + -2x2 = -150 + -14x Solving for variable 'x'. Reorder the terms: 150 + 6x + 14x + -2x2 = -150 + -14x + 150 + 14x Combine like terms: 6x + 14x = 20x 150 + 20x + -2x2 = -150 + -14x + 150 + 14x Reorder the terms: 150 + 20x + -2x2 = -150 + 150 + -14x + 14x Combine like terms: -150 + 150 = 0 150 + 20x + -2x2 = 0 + -14x + 14x 150 + 20x + -2x2 = -14x + 14x Combine like terms: -14x + 14x = 0 150 + 20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(75 + 10x + -1x2) = 0 Factor a trinomial. 2((15 + -1x)(5 + x)) = 0 Ignore the factor 2.Subproblem 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {15, -5}
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