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Simplifying 2x2 + -14x + -30 = x2 + 3x + 30 Reorder the terms: -30 + -14x + 2x2 = x2 + 3x + 30 Reorder the terms: -30 + -14x + 2x2 = 30 + 3x + x2 Solving -30 + -14x + 2x2 = 30 + 3x + x2 Solving for variable 'x'. Reorder the terms: -30 + -30 + -14x + -3x + 2x2 + -1x2 = 30 + 3x + x2 + -30 + -3x + -1x2 Combine like terms: -30 + -30 = -60 -60 + -14x + -3x + 2x2 + -1x2 = 30 + 3x + x2 + -30 + -3x + -1x2 Combine like terms: -14x + -3x = -17x -60 + -17x + 2x2 + -1x2 = 30 + 3x + x2 + -30 + -3x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -60 + -17x + 1x2 = 30 + 3x + x2 + -30 + -3x + -1x2 Reorder the terms: -60 + -17x + 1x2 = 30 + -30 + 3x + -3x + x2 + -1x2 Combine like terms: 30 + -30 = 0 -60 + -17x + 1x2 = 0 + 3x + -3x + x2 + -1x2 -60 + -17x + 1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 -60 + -17x + 1x2 = 0 + x2 + -1x2 -60 + -17x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -60 + -17x + 1x2 = 0 Factor a trinomial. (-3 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-3, 20}
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