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Simplifying 16d2 + -6d + -27 = 0 Reorder the terms: -27 + -6d + 16d2 = 0 Solving -27 + -6d + 16d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + -8d)(3 + -2d) = 0Subproblem 1
Set the factor '(-9 + -8d)' equal to zero and attempt to solve: Simplifying -9 + -8d = 0 Solving -9 + -8d = 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 + -8d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8d = 0 + 9 -8d = 0 + 9 Combine like terms: 0 + 9 = 9 -8d = 9 Divide each side by '-8'. d = -1.125 Simplifying d = -1.125Subproblem 2
Set the factor '(3 + -2d)' equal to zero and attempt to solve: Simplifying 3 + -2d = 0 Solving 3 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2d = 0 + -3 -2d = 0 + -3 Combine like terms: 0 + -3 = -3 -2d = -3 Divide each side by '-2'. d = 1.5 Simplifying d = 1.5Solution
d = {-1.125, 1.5}
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