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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((-15 + -1d)(8 + -1d)) = 0 Ignore the factor 2.Subproblem 1
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 = -15Subproblem 2
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 = 8Solution
d = {-15, 8}
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