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Simplifying 2(10d2 + -41d + 40) = 0 Reorder the terms: 2(40 + -41d + 10d2) = 0 (40 * 2 + -41d * 2 + 10d2 * 2) = 0 (80 + -82d + 20d2) = 0 Solving 80 + -82d + 20d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + -41d + 10d2) = 0 Factor a trinomial. 2((8 + -5d)(5 + -2d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -5d)' equal to zero and attempt to solve: Simplifying 8 + -5d = 0 Solving 8 + -5d = 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 + -5d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5d = 0 + -8 -5d = 0 + -8 Combine like terms: 0 + -8 = -8 -5d = -8 Divide each side by '-5'. d = 1.6 Simplifying d = 1.6Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {1.6, 2.5}
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