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Simplifying -8X2 + -96X + 10080 = 0 Reorder the terms: 10080 + -96X + -8X2 = 0 Solving 10080 + -96X + -8X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '8'. 8(1260 + -12X + -1X2) = 0 Factor a trinomial. 8((30 + -1X)(42 + X)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(30 + -1X)' equal to zero and attempt to solve: Simplifying 30 + -1X = 0 Solving 30 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1X = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1X = 0 + -30 -1X = 0 + -30 Combine like terms: 0 + -30 = -30 -1X = -30 Divide each side by '-1'. X = 30 Simplifying X = 30Subproblem 2
Set the factor '(42 + X)' equal to zero and attempt to solve: Simplifying 42 + X = 0 Solving 42 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + X = 0 + -42 Combine like terms: 42 + -42 = 0 0 + X = 0 + -42 X = 0 + -42 Combine like terms: 0 + -42 = -42 X = -42 Simplifying X = -42Solution
X = {30, -42}
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