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Simplifying 9v2 + -24vd + 16d2 = 0 Reorder the terms: -24dv + 16d2 + 9v2 = 0 Solving -24dv + 16d2 + 9v2 = 0 Solving for variable 'd'. Factor a trinomial. (4d + -3v)(4d + -3v) = 0Subproblem 1
Set the factor '(4d + -3v)' equal to zero and attempt to solve: Simplifying 4d + -3v = 0 Solving 4d + -3v = 0 Move all terms containing d to the left, all other terms to the right. Add '3v' to each side of the equation. 4d + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4d + 0 = 0 + 3v 4d = 0 + 3v Remove the zero: 4d = 3v Divide each side by '4'. d = 0.75v Simplifying d = 0.75vSubproblem 2
Set the factor '(4d + -3v)' equal to zero and attempt to solve: Simplifying 4d + -3v = 0 Solving 4d + -3v = 0 Move all terms containing d to the left, all other terms to the right. Add '3v' to each side of the equation. 4d + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4d + 0 = 0 + 3v 4d = 0 + 3v Remove the zero: 4d = 3v Divide each side by '4'. d = 0.75v Simplifying d = 0.75vSolution
d = {0.75v, 0.75v}
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