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Simplifying (5d + 9)(9d + -7) = 0 Reorder the terms: (9 + 5d)(9d + -7) = 0 Reorder the terms: (9 + 5d)(-7 + 9d) = 0 Multiply (9 + 5d) * (-7 + 9d) (9(-7 + 9d) + 5d * (-7 + 9d)) = 0 ((-7 * 9 + 9d * 9) + 5d * (-7 + 9d)) = 0 ((-63 + 81d) + 5d * (-7 + 9d)) = 0 (-63 + 81d + (-7 * 5d + 9d * 5d)) = 0 (-63 + 81d + (-35d + 45d2)) = 0 Combine like terms: 81d + -35d = 46d (-63 + 46d + 45d2) = 0 Solving -63 + 46d + 45d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + -5d)(7 + -9d) = 0Subproblem 1
Set the factor '(-9 + -5d)' equal to zero and attempt to solve: Simplifying -9 + -5d = 0 Solving -9 + -5d = 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 + -5d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5d = 0 + 9 -5d = 0 + 9 Combine like terms: 0 + 9 = 9 -5d = 9 Divide each side by '-5'. d = -1.8 Simplifying d = -1.8Subproblem 2
Set the factor '(7 + -9d)' equal to zero and attempt to solve: Simplifying 7 + -9d = 0 Solving 7 + -9d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9d = 0 + -7 -9d = 0 + -7 Combine like terms: 0 + -7 = -7 -9d = -7 Divide each side by '-9'. d = 0.7777777778 Simplifying d = 0.7777777778Solution
d = {-1.8, 0.7777777778}
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