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Simplifying 36v2 + 60vd + 25d2 = 0 Reorder the terms: 60dv + 25d2 + 36v2 = 0 Solving 60dv + 25d2 + 36v2 = 0 Solving for variable 'd'. Factor a trinomial. (5d + 6v)(5d + 6v) = 0Subproblem 1
Set the factor '(5d + 6v)' equal to zero and attempt to solve: Simplifying 5d + 6v = 0 Solving 5d + 6v = 0 Move all terms containing d to the left, all other terms to the right. Add '-6v' to each side of the equation. 5d + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 5d + 0 = 0 + -6v 5d = 0 + -6v Remove the zero: 5d = -6v Divide each side by '5'. d = -1.2v Simplifying d = -1.2vSubproblem 2
Set the factor '(5d + 6v)' equal to zero and attempt to solve: Simplifying 5d + 6v = 0 Solving 5d + 6v = 0 Move all terms containing d to the left, all other terms to the right. Add '-6v' to each side of the equation. 5d + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 5d + 0 = 0 + -6v 5d = 0 + -6v Remove the zero: 5d = -6v Divide each side by '5'. d = -1.2v Simplifying d = -1.2vSolution
d = {-1.2v, -1.2v}
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