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Simplifying 90 = (15x + 15x2) Remove parenthesis around (15x + 15x2) 90 = 15x + 15x2 Solving 90 = 15x + 15x2 Solving for variable 'x'. Reorder the terms: 90 + -15x + -15x2 = 15x + -15x + 15x2 + -15x2 Combine like terms: 15x + -15x = 0 90 + -15x + -15x2 = 0 + 15x2 + -15x2 90 + -15x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 90 + -15x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(6 + -1x + -1x2) = 0 Factor a trinomial. 15((2 + -1x)(3 + x)) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {2, -3}
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