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Simplifying 0 = 15x2 + -5x + -20 Reorder the terms: 0 = -20 + -5x + 15x2 Solving 0 = -20 + -5x + 15x2 Solving for variable 'x'. Combine like terms: 0 + 20 = 20 20 + 5x + -15x2 = -20 + -5x + 15x2 + 20 + 5x + -15x2 Reorder the terms: 20 + 5x + -15x2 = -20 + 20 + -5x + 5x + 15x2 + -15x2 Combine like terms: -20 + 20 = 0 20 + 5x + -15x2 = 0 + -5x + 5x + 15x2 + -15x2 20 + 5x + -15x2 = -5x + 5x + 15x2 + -15x2 Combine like terms: -5x + 5x = 0 20 + 5x + -15x2 = 0 + 15x2 + -15x2 20 + 5x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 20 + 5x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + x + -3x2) = 0 Factor a trinomial. 5((4 + -3x)(1 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.333333333, -1}
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