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Simplifying 25d2 + 40d + 16 = 0 Reorder the terms: 16 + 40d + 25d2 = 0 Solving 16 + 40d + 25d2 = 0 Solving for variable 'd'. Factor a trinomial. (4 + 5d)(4 + 5d) = 0Subproblem 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 '(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 = -0.8Solution
d = {-0.8, -0.8}
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