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Simplifying (9d + -2)(d + -1) = 0 Reorder the terms: (-2 + 9d)(d + -1) = 0 Reorder the terms: (-2 + 9d)(-1 + d) = 0 Multiply (-2 + 9d) * (-1 + d) (-2(-1 + d) + 9d * (-1 + d)) = 0 ((-1 * -2 + d * -2) + 9d * (-1 + d)) = 0 ((2 + -2d) + 9d * (-1 + d)) = 0 (2 + -2d + (-1 * 9d + d * 9d)) = 0 (2 + -2d + (-9d + 9d2)) = 0 Combine like terms: -2d + -9d = -11d (2 + -11d + 9d2) = 0 Solving 2 + -11d + 9d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + -9d)(1 + -1d) = 0Subproblem 1
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 = 0.2222222222Subproblem 2
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 = 1Solution
d = {0.2222222222, 1}
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