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Simplifying 64 = 2x2 + -22x + 120 Reorder the terms: 64 = 120 + -22x + 2x2 Solving 64 = 120 + -22x + 2x2 Solving for variable 'x'. Combine like terms: 64 + -120 = -56 -56 + 22x + -2x2 = 120 + -22x + 2x2 + -120 + 22x + -2x2 Reorder the terms: -56 + 22x + -2x2 = 120 + -120 + -22x + 22x + 2x2 + -2x2 Combine like terms: 120 + -120 = 0 -56 + 22x + -2x2 = 0 + -22x + 22x + 2x2 + -2x2 -56 + 22x + -2x2 = -22x + 22x + 2x2 + -2x2 Combine like terms: -22x + 22x = 0 -56 + 22x + -2x2 = 0 + 2x2 + -2x2 -56 + 22x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -56 + 22x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + 11x + -1x2) = 0 Factor a trinomial. 2((-7 + x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 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 = {7, 4}
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