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Simplifying d2 + -33d + -280 = 0 Reorder the terms: -280 + -33d + d2 = 0 Solving -280 + -33d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-7 + -1d)(40 + -1d) = 0Subproblem 1
Set the factor '(-7 + -1d)' equal to zero and attempt to solve: Simplifying -7 + -1d = 0 Solving -7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1d = 0 + 7 -1d = 0 + 7 Combine like terms: 0 + 7 = 7 -1d = 7 Divide each side by '-1'. d = -7 Simplifying d = -7Subproblem 2
Set the factor '(40 + -1d)' equal to zero and attempt to solve: Simplifying 40 + -1d = 0 Solving 40 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1d = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1d = 0 + -40 -1d = 0 + -40 Combine like terms: 0 + -40 = -40 -1d = -40 Divide each side by '-1'. d = 40 Simplifying d = 40Solution
d = {-7, 40}
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