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Simplifying (d + 9)(d + -2) = 0 Reorder the terms: (9 + d)(d + -2) = 0 Reorder the terms: (9 + d)(-2 + d) = 0 Multiply (9 + d) * (-2 + d) (9(-2 + d) + d(-2 + d)) = 0 ((-2 * 9 + d * 9) + d(-2 + d)) = 0 ((-18 + 9d) + d(-2 + d)) = 0 (-18 + 9d + (-2 * d + d * d)) = 0 (-18 + 9d + (-2d + d2)) = 0 Combine like terms: 9d + -2d = 7d (-18 + 7d + d2) = 0 Solving -18 + 7d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + -1d)(2 + -1d) = 0Subproblem 1
Set the factor '(-9 + -1d)' equal to zero and attempt to solve: Simplifying -9 + -1d = 0 Solving -9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1d = 0 + 9 -1d = 0 + 9 Combine like terms: 0 + 9 = 9 -1d = 9 Divide each side by '-1'. d = -9 Simplifying d = -9Subproblem 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 = {-9, 2}
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