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Simplifying -2x2 + -33x + 2(-3) + -130 = 0 Multiply 2 * -3 -2x2 + -33x + -6 + -130 = 0 Reorder the terms: -6 + -130 + -33x + -2x2 = 0 Combine like terms: -6 + -130 = -136 -136 + -33x + -2x2 = 0 Solving -136 + -33x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(136 + 33x + 2x2) = 0 Factor a trinomial. -1((17 + 2x)(8 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-8.5, -8}
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