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Simplifying 88 + d2 + -19d = 0 Reorder the terms: 88 + -19d + d2 = 0 Solving 88 + -19d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (8 + -1d)(11 + -1d) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(11 + -1d)' equal to zero and attempt to solve: Simplifying 11 + -1d = 0 Solving 11 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1d = 0 + -11 -1d = 0 + -11 Combine like terms: 0 + -11 = -11 -1d = -11 Divide each side by '-1'. d = 11 Simplifying d = 11Solution
d = {8, 11}
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