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Simplifying -2x2 + -28x + -98 = -512 Reorder the terms: -98 + -28x + -2x2 = -512 Solving -98 + -28x + -2x2 = -512 Solving for variable 'x'. Reorder the terms: -98 + 512 + -28x + -2x2 = -512 + 512 Combine like terms: -98 + 512 = 414 414 + -28x + -2x2 = -512 + 512 Combine like terms: -512 + 512 = 0 414 + -28x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(207 + -14x + -1x2) = 0 Factor a trinomial. 2((9 + -1x)(23 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Solution
x = {9, -23}
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