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Simplifying (3d + -1)(d + -9) = 0 Reorder the terms: (-1 + 3d)(d + -9) = 0 Reorder the terms: (-1 + 3d)(-9 + d) = 0 Multiply (-1 + 3d) * (-9 + d) (-1(-9 + d) + 3d * (-9 + d)) = 0 ((-9 * -1 + d * -1) + 3d * (-9 + d)) = 0 ((9 + -1d) + 3d * (-9 + d)) = 0 (9 + -1d + (-9 * 3d + d * 3d)) = 0 (9 + -1d + (-27d + 3d2)) = 0 Combine like terms: -1d + -27d = -28d (9 + -28d + 3d2) = 0 Solving 9 + -28d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -3d)(9 + -1d) = 0Subproblem 1
Set the factor '(1 + -3d)' equal to zero and attempt to solve: Simplifying 1 + -3d = 0 Solving 1 + -3d = 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 + -3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 0 + -1 -3d = 0 + -1 Combine like terms: 0 + -1 = -1 -3d = -1 Divide each side by '-3'. d = 0.3333333333 Simplifying d = 0.3333333333Subproblem 2
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 = 9Solution
d = {0.3333333333, 9}
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