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Simplifying -22d2 + 29d + -9 = 0 Reorder the terms: -9 + 29d + -22d2 = 0 Solving -9 + 29d + -22d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + 11d)(1 + -2d) = 0Subproblem 1
Set the factor '(-9 + 11d)' equal to zero and attempt to solve: Simplifying -9 + 11d = 0 Solving -9 + 11d = 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 + 11d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 11d = 0 + 9 11d = 0 + 9 Combine like terms: 0 + 9 = 9 11d = 9 Divide each side by '11'. d = 0.8181818182 Simplifying d = 0.8181818182Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve: Simplifying 1 + -2d = 0 Solving 1 + -2d = 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 + -2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = 0 + -1 -2d = 0 + -1 Combine like terms: 0 + -1 = -1 -2d = -1 Divide each side by '-2'. d = 0.5 Simplifying d = 0.5Solution
d = {0.8181818182, 0.5}
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