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Simplifying (5d + -6)(-4d + 9) = 0 Reorder the terms: (-6 + 5d)(-4d + 9) = 0 Reorder the terms: (-6 + 5d)(9 + -4d) = 0 Multiply (-6 + 5d) * (9 + -4d) (-6(9 + -4d) + 5d * (9 + -4d)) = 0 ((9 * -6 + -4d * -6) + 5d * (9 + -4d)) = 0 ((-54 + 24d) + 5d * (9 + -4d)) = 0 (-54 + 24d + (9 * 5d + -4d * 5d)) = 0 (-54 + 24d + (45d + -20d2)) = 0 Combine like terms: 24d + 45d = 69d (-54 + 69d + -20d2) = 0 Solving -54 + 69d + -20d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + 4d)(6 + -5d) = 0Subproblem 1
Set the factor '(-9 + 4d)' equal to zero and attempt to solve: Simplifying -9 + 4d = 0 Solving -9 + 4d = 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 + 4d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4d = 0 + 9 4d = 0 + 9 Combine like terms: 0 + 9 = 9 4d = 9 Divide each side by '4'. d = 2.25 Simplifying d = 2.25Subproblem 2
Set the factor '(6 + -5d)' equal to zero and attempt to solve: Simplifying 6 + -5d = 0 Solving 6 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5d = 0 + -6 -5d = 0 + -6 Combine like terms: 0 + -6 = -6 -5d = -6 Divide each side by '-5'. d = 1.2 Simplifying d = 1.2Solution
d = {2.25, 1.2}
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