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Simplifying 25d2 + 30d = -9 Reorder the terms: 30d + 25d2 = -9 Solving 30d + 25d2 = -9 Solving for variable 'd'. Reorder the terms: 9 + 30d + 25d2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 30d + 25d2 = 0 Factor a trinomial. (3 + 5d)(3 + 5d) = 0Subproblem 1
Set the factor '(3 + 5d)' equal to zero and attempt to solve: Simplifying 3 + 5d = 0 Solving 3 + 5d = 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 + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 0 + -3 5d = 0 + -3 Combine like terms: 0 + -3 = -3 5d = -3 Divide each side by '5'. d = -0.6 Simplifying d = -0.6Subproblem 2
Set the factor '(3 + 5d)' equal to zero and attempt to solve: Simplifying 3 + 5d = 0 Solving 3 + 5d = 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 + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 0 + -3 5d = 0 + -3 Combine like terms: 0 + -3 = -3 5d = -3 Divide each side by '5'. d = -0.6 Simplifying d = -0.6Solution
d = {-0.6, -0.6}
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