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Simplifying 15x2 + -5x + -4 + 64 = 180 Reorder the terms: -4 + 64 + -5x + 15x2 = 180 Combine like terms: -4 + 64 = 60 60 + -5x + 15x2 = 180 Solving 60 + -5x + 15x2 = 180 Solving for variable 'x'. Reorder the terms: 60 + -180 + -5x + 15x2 = 180 + -180 Combine like terms: 60 + -180 = -120 -120 + -5x + 15x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -120 + -5x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-24 + -1x + 3x2) = 0 Factor a trinomial. 5((-8 + -3x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
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 = 3Solution
x = {-2.666666667, 3}
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