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Simplifying 56 + -2x2 = -24x Solving 56 + -2x2 = -24x Solving for variable 'x'. Reorder the terms: 56 + 24x + -2x2 = -24x + 24x Combine like terms: -24x + 24x = 0 56 + 24x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 12x + -1x2) = 0 Factor a trinomial. 2((14 + -1x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {14, -2}
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