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Simplifying -5d2 + -7d + -2 = 0 Reorder the terms: -2 + -7d + -5d2 = 0 Solving -2 + -7d + -5d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7d + 5d2) = 0 Factor a trinomial. -1((1 + d)(2 + 5d)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Subproblem 2
Set the factor '(2 + 5d)' equal to zero and attempt to solve: Simplifying 2 + 5d = 0 Solving 2 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 0 + -2 5d = 0 + -2 Combine like terms: 0 + -2 = -2 5d = -2 Divide each side by '5'. d = -0.4 Simplifying d = -0.4Solution
d = {-1, -0.4}
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