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Simplifying 0 = 25d2 + 30d + 8 Reorder the terms: 0 = 8 + 30d + 25d2 Solving 0 = 8 + 30d + 25d2 Solving for variable 'd'. Combine like terms: 0 + -8 = -8 -8 + -30d + -25d2 = 8 + 30d + 25d2 + -8 + -30d + -25d2 Reorder the terms: -8 + -30d + -25d2 = 8 + -8 + 30d + -30d + 25d2 + -25d2 Combine like terms: 8 + -8 = 0 -8 + -30d + -25d2 = 0 + 30d + -30d + 25d2 + -25d2 -8 + -30d + -25d2 = 30d + -30d + 25d2 + -25d2 Combine like terms: 30d + -30d = 0 -8 + -30d + -25d2 = 0 + 25d2 + -25d2 -8 + -30d + -25d2 = 25d2 + -25d2 Combine like terms: 25d2 + -25d2 = 0 -8 + -30d + -25d2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 30d + 25d2) = 0 Factor a trinomial. -1((4 + 5d)(2 + 5d)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 5d)' equal to zero and attempt to solve: Simplifying 4 + 5d = 0 Solving 4 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = 0 + -4 5d = 0 + -4 Combine like terms: 0 + -4 = -4 5d = -4 Divide each side by '5'. d = -0.8 Simplifying d = -0.8Subproblem 2
Set the factor '(2 + 5d)' equal to zero and attempt to solve: Simplifying 2 + 5d = 0 Solving 2 + 5d = 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 + 5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 0 + -2 5d = 0 + -2 Combine like terms: 0 + -2 = -2 5d = -2 Divide each side by '5'. d = -0.4 Simplifying d = -0.4Solution
d = {-0.8, -0.4}
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