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Simplifying 60 = 4x2 + -44x + 172 Reorder the terms: 60 = 172 + -44x + 4x2 Solving 60 = 172 + -44x + 4x2 Solving for variable 'x'. Combine like terms: 60 + -172 = -112 -112 + 44x + -4x2 = 172 + -44x + 4x2 + -172 + 44x + -4x2 Reorder the terms: -112 + 44x + -4x2 = 172 + -172 + -44x + 44x + 4x2 + -4x2 Combine like terms: 172 + -172 = 0 -112 + 44x + -4x2 = 0 + -44x + 44x + 4x2 + -4x2 -112 + 44x + -4x2 = -44x + 44x + 4x2 + -4x2 Combine like terms: -44x + 44x = 0 -112 + 44x + -4x2 = 0 + 4x2 + -4x2 -112 + 44x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -112 + 44x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-28 + 11x + -1x2) = 0 Factor a trinomial. 4((-7 + x)(4 + -1x)) = 0 Ignore the factor 4.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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