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Simplifying d2 = 5d + 24 Reorder the terms: d2 = 24 + 5d Solving d2 = 24 + 5d Solving for variable 'd'. Reorder the terms: -24 + -5d + d2 = 24 + 5d + -24 + -5d Reorder the terms: -24 + -5d + d2 = 24 + -24 + 5d + -5d Combine like terms: 24 + -24 = 0 -24 + -5d + d2 = 0 + 5d + -5d -24 + -5d + d2 = 5d + -5d Combine like terms: 5d + -5d = 0 -24 + -5d + d2 = 0 Factor a trinomial. (-3 + -1d)(8 + -1d) = 0Subproblem 1
Set the factor '(-3 + -1d)' equal to zero and attempt to solve: Simplifying -3 + -1d = 0 Solving -3 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1d = 0 + 3 -1d = 0 + 3 Combine like terms: 0 + 3 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3Subproblem 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 = {-3, 8}
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