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Simplifying 25v2 + 80vd + 64d2 = 0 Reorder the terms: 80dv + 64d2 + 25v2 = 0 Solving 80dv + 64d2 + 25v2 = 0 Solving for variable 'd'. Factor a trinomial. (8d + 5v)(8d + 5v) = 0Subproblem 1
Set the factor '(8d + 5v)' equal to zero and attempt to solve: Simplifying 8d + 5v = 0 Solving 8d + 5v = 0 Move all terms containing d to the left, all other terms to the right. Add '-5v' to each side of the equation. 8d + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 8d + 0 = 0 + -5v 8d = 0 + -5v Remove the zero: 8d = -5v Divide each side by '8'. d = -0.625v Simplifying d = -0.625vSubproblem 2
Set the factor '(8d + 5v)' equal to zero and attempt to solve: Simplifying 8d + 5v = 0 Solving 8d + 5v = 0 Move all terms containing d to the left, all other terms to the right. Add '-5v' to each side of the equation. 8d + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 8d + 0 = 0 + -5v 8d = 0 + -5v Remove the zero: 8d = -5v Divide each side by '8'. d = -0.625v Simplifying d = -0.625vSolution
d = {-0.625v, -0.625v}
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