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Simplifying 1512 + -156x + 4x2 = 520 Solving 1512 + -156x + 4x2 = 520 Solving for variable 'x'. Reorder the terms: 1512 + -520 + -156x + 4x2 = 520 + -520 Combine like terms: 1512 + -520 = 992 992 + -156x + 4x2 = 520 + -520 Combine like terms: 520 + -520 = 0 992 + -156x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(248 + -39x + x2) = 0 Factor a trinomial. 4((8 + -1x)(31 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve: Simplifying 31 + -1x = 0 Solving 31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 0 + -31 -1x = 0 + -31 Combine like terms: 0 + -31 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31Solution
x = {8, 31}
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