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Simplifying (9d + -5)(6d + -5) = 0 Reorder the terms: (-5 + 9d)(6d + -5) = 0 Reorder the terms: (-5 + 9d)(-5 + 6d) = 0 Multiply (-5 + 9d) * (-5 + 6d) (-5(-5 + 6d) + 9d * (-5 + 6d)) = 0 ((-5 * -5 + 6d * -5) + 9d * (-5 + 6d)) = 0 ((25 + -30d) + 9d * (-5 + 6d)) = 0 (25 + -30d + (-5 * 9d + 6d * 9d)) = 0 (25 + -30d + (-45d + 54d2)) = 0 Combine like terms: -30d + -45d = -75d (25 + -75d + 54d2) = 0 Solving 25 + -75d + 54d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + -9d)(5 + -6d) = 0Subproblem 1
Set the factor '(5 + -9d)' equal to zero and attempt to solve: Simplifying 5 + -9d = 0 Solving 5 + -9d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9d = 0 + -5 -9d = 0 + -5 Combine like terms: 0 + -5 = -5 -9d = -5 Divide each side by '-9'. d = 0.5555555556 Simplifying d = 0.5555555556Subproblem 2
Set the factor '(5 + -6d)' equal to zero and attempt to solve: Simplifying 5 + -6d = 0 Solving 5 + -6d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6d = 0 + -5 -6d = 0 + -5 Combine like terms: 0 + -5 = -5 -6d = -5 Divide each side by '-6'. d = 0.8333333333 Simplifying d = 0.8333333333Solution
d = {0.5555555556, 0.8333333333}
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