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Simplifying 0 = -2145 + 30x + 15x2 Solving 0 = -2145 + 30x + 15x2 Solving for variable 'x'. Combine like terms: 0 + 2145 = 2145 2145 + -30x + -15x2 = -2145 + 30x + 15x2 + 2145 + -30x + -15x2 Reorder the terms: 2145 + -30x + -15x2 = -2145 + 2145 + 30x + -30x + 15x2 + -15x2 Combine like terms: -2145 + 2145 = 0 2145 + -30x + -15x2 = 0 + 30x + -30x + 15x2 + -15x2 2145 + -30x + -15x2 = 30x + -30x + 15x2 + -15x2 Combine like terms: 30x + -30x = 0 2145 + -30x + -15x2 = 0 + 15x2 + -15x2 2145 + -30x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 2145 + -30x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(143 + -2x + -1x2) = 0 Factor a trinomial. 15((11 + -1x)(13 + x)) = 0 Ignore the factor 15.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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {11, -13}
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