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Simplifying 2d2 + -14d + -240 = 0 Reorder the terms: -240 + -14d + 2d2 = 0 Solving -240 + -14d + 2d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(-120 + -7d + d2) = 0 Factor a trinomial. 2((-8 + -1d)(15 + -1d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1d)' equal to zero and attempt to solve: Simplifying -8 + -1d = 0 Solving -8 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 0 + 8 -1d = 0 + 8 Combine like terms: 0 + 8 = 8 -1d = 8 Divide each side by '-1'. d = -8 Simplifying d = -8Subproblem 2
Set the factor '(15 + -1d)' equal to zero and attempt to solve: Simplifying 15 + -1d = 0 Solving 15 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1d = 0 + -15 -1d = 0 + -15 Combine like terms: 0 + -15 = -15 -1d = -15 Divide each side by '-1'. d = 15 Simplifying d = 15Solution
d = {-8, 15}
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