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Simplifying d2 + 23d = 50 Reorder the terms: 23d + d2 = 50 Solving 23d + d2 = 50 Solving for variable 'd'. Reorder the terms: -50 + 23d + d2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 23d + d2 = 0 Factor a trinomial. (-25 + -1d)(2 + -1d) = 0Subproblem 1
Set the factor '(-25 + -1d)' equal to zero and attempt to solve: Simplifying -25 + -1d = 0 Solving -25 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1d = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1d = 0 + 25 -1d = 0 + 25 Combine like terms: 0 + 25 = 25 -1d = 25 Divide each side by '-1'. d = -25 Simplifying d = -25Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 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 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {-25, 2}
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