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Simplifying 3x2 + -360 + 16x = 80 + -2x2 + x Reorder the terms: -360 + 16x + 3x2 = 80 + -2x2 + x Reorder the terms: -360 + 16x + 3x2 = 80 + x + -2x2 Solving -360 + 16x + 3x2 = 80 + x + -2x2 Solving for variable 'x'. Reorder the terms: -360 + -80 + 16x + -1x + 3x2 + 2x2 = 80 + x + -2x2 + -80 + -1x + 2x2 Combine like terms: -360 + -80 = -440 -440 + 16x + -1x + 3x2 + 2x2 = 80 + x + -2x2 + -80 + -1x + 2x2 Combine like terms: 16x + -1x = 15x -440 + 15x + 3x2 + 2x2 = 80 + x + -2x2 + -80 + -1x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 -440 + 15x + 5x2 = 80 + x + -2x2 + -80 + -1x + 2x2 Reorder the terms: -440 + 15x + 5x2 = 80 + -80 + x + -1x + -2x2 + 2x2 Combine like terms: 80 + -80 = 0 -440 + 15x + 5x2 = 0 + x + -1x + -2x2 + 2x2 -440 + 15x + 5x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 -440 + 15x + 5x2 = 0 + -2x2 + 2x2 -440 + 15x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -440 + 15x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-88 + 3x + x2) = 0 Factor a trinomial. 5((-11 + -1x)(8 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-11, 8}
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