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Simplifying (4x2) + -68x = -120 Reorder the terms: -68x + (4x2) = -120 Solving -68x + (4x2) = -120 Solving for variable 'x'. Reorder the terms: 120 + -68x + (4x2) = -120 + 120 Combine like terms: -120 + 120 = 0 120 + -68x + (4x2) = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(30 + -17x + x2) = 0 Factor a trinomial. 4((2 + -1x)(15 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {2, 15}
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