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Simplifying 20v2 + -23vd + 6d2 = 0 Reorder the terms: -23dv + 6d2 + 20v2 = 0 Solving -23dv + 6d2 + 20v2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + -5v)(3d + -4v) = 0Subproblem 1
Set the factor '(2d + -5v)' equal to zero and attempt to solve: Simplifying 2d + -5v = 0 Solving 2d + -5v = 0 Move all terms containing d to the left, all other terms to the right. Add '5v' to each side of the equation. 2d + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 2d + 0 = 0 + 5v 2d = 0 + 5v Remove the zero: 2d = 5v Divide each side by '2'. d = 2.5v Simplifying d = 2.5vSubproblem 2
Set the factor '(3d + -4v)' equal to zero and attempt to solve: Simplifying 3d + -4v = 0 Solving 3d + -4v = 0 Move all terms containing d to the left, all other terms to the right. Add '4v' to each side of the equation. 3d + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 3d + 0 = 0 + 4v 3d = 0 + 4v Remove the zero: 3d = 4v Divide each side by '3'. d = 1.333333333v Simplifying d = 1.333333333vSolution
d = {2.5v, 1.333333333v}
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