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Simplifying d2 = 6d + 7 Reorder the terms: d2 = 7 + 6d Solving d2 = 7 + 6d Solving for variable 'd'. Reorder the terms: -7 + -6d + d2 = 7 + 6d + -7 + -6d Reorder the terms: -7 + -6d + d2 = 7 + -7 + 6d + -6d Combine like terms: 7 + -7 = 0 -7 + -6d + d2 = 0 + 6d + -6d -7 + -6d + d2 = 6d + -6d Combine like terms: 6d + -6d = 0 -7 + -6d + d2 = 0 Factor a trinomial. (-1 + -1d)(7 + -1d) = 0Subproblem 1
Set the factor '(-1 + -1d)' equal to zero and attempt to solve: Simplifying -1 + -1d = 0 Solving -1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1d = 0 + 1 -1d = 0 + 1 Combine like terms: 0 + 1 = 1 -1d = 1 Divide each side by '-1'. d = -1 Simplifying d = -1Subproblem 2
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 = 7Solution
d = {-1, 7}
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