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Simplifying 20v2 + 13vd + -15d2 = 0 Reorder the terms: 13dv + -15d2 + 20v2 = 0 Solving 13dv + -15d2 + 20v2 = 0 Solving for variable 'd'. Factor a trinomial. (-5d + -4v)(3d + -5v) = 0Subproblem 1
Set the factor '(-5d + -4v)' equal to zero and attempt to solve: Simplifying -5d + -4v = 0 Solving -5d + -4v = 0 Move all terms containing d to the left, all other terms to the right. Add '4v' to each side of the equation. -5d + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -5d + 0 = 0 + 4v -5d = 0 + 4v Remove the zero: -5d = 4v Divide each side by '-5'. d = -0.8v Simplifying d = -0.8vSubproblem 2
Set the factor '(3d + -5v)' equal to zero and attempt to solve: Simplifying 3d + -5v = 0 Solving 3d + -5v = 0 Move all terms containing d to the left, all other terms to the right. Add '5v' to each side of the equation. 3d + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 3d + 0 = 0 + 5v 3d = 0 + 5v Remove the zero: 3d = 5v Divide each side by '3'. d = 1.666666667v Simplifying d = 1.666666667vSolution
d = {-0.8v, 1.666666667v}
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