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Simplifying (d + 3)(9d + -2) = 0 Reorder the terms: (3 + d)(9d + -2) = 0 Reorder the terms: (3 + d)(-2 + 9d) = 0 Multiply (3 + d) * (-2 + 9d) (3(-2 + 9d) + d(-2 + 9d)) = 0 ((-2 * 3 + 9d * 3) + d(-2 + 9d)) = 0 ((-6 + 27d) + d(-2 + 9d)) = 0 (-6 + 27d + (-2 * d + 9d * d)) = 0 (-6 + 27d + (-2d + 9d2)) = 0 Combine like terms: 27d + -2d = 25d (-6 + 25d + 9d2) = 0 Solving -6 + 25d + 9d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -1d)(2 + -9d) = 0Subproblem 1
Set the factor '(-3 + -1d)' equal to zero and attempt to solve: Simplifying -3 + -1d = 0 Solving -3 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1d = 0 + 3 -1d = 0 + 3 Combine like terms: 0 + 3 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3Subproblem 2
Set the factor '(2 + -9d)' equal to zero and attempt to solve: Simplifying 2 + -9d = 0 Solving 2 + -9d = 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 + -9d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9d = 0 + -2 -9d = 0 + -2 Combine like terms: 0 + -2 = -2 -9d = -2 Divide each side by '-9'. d = 0.2222222222 Simplifying d = 0.2222222222Solution
d = {-3, 0.2222222222}
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