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Simplifying 9d2 + 25d + 14 = 0 Reorder the terms: 14 + 25d + 9d2 = 0 Solving 14 + 25d + 9d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + d)(7 + 9d) = 0Subproblem 1
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Subproblem 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 = {-2, -0.7777777778}
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