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Simplifying -2x2 + -48 = -20x Reorder the terms: -48 + -2x2 = -20x Solving -48 + -2x2 = -20x Solving for variable 'x'. Reorder the terms: -48 + 20x + -2x2 = -20x + 20x Combine like terms: -20x + 20x = 0 -48 + 20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 10x + -1x2) = 0 Factor a trinomial. 2((-6 + x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {6, 4}
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