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Simplifying 20v2 + 11vd + -3d2 = 0 Reorder the terms: 11dv + -3d2 + 20v2 = 0 Solving 11dv + -3d2 + 20v2 = 0 Solving for variable 'd'. Factor a trinomial. (-3d + -4v)(d + -5v) = 0Subproblem 1
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 = -1.333333333vSubproblem 2
Set the factor '(d + -5v)' equal to zero and attempt to solve: Simplifying d + -5v = 0 Solving d + -5v = 0 Move all terms containing d to the left, all other terms to the right. Add '5v' to each side of the equation. d + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 d + 0 = 0 + 5v d = 0 + 5v Remove the zero: d = 5v Simplifying d = 5vSolution
d = {-1.333333333v, 5v}
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