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Simplifying 85x2 + -5040x + 53900 = 0 Reorder the terms: 53900 + -5040x + 85x2 = 0 Solving 53900 + -5040x + 85x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(10780 + -1008x + 17x2) = 0 Factor a trinomial. 5((14 + -1x)(770 + -17x)) = 0 Ignore the factor 5.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 '(770 + -17x)' equal to zero and attempt to solve: Simplifying 770 + -17x = 0 Solving 770 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-770' to each side of the equation. 770 + -770 + -17x = 0 + -770 Combine like terms: 770 + -770 = 0 0 + -17x = 0 + -770 -17x = 0 + -770 Combine like terms: 0 + -770 = -770 -17x = -770 Divide each side by '-17'. x = 45.29411765 Simplifying x = 45.29411765Solution
x = {14, 45.29411765}
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