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Simplifying 81v2 + -180vd + 100d2 = 0 Reorder the terms: -180dv + 100d2 + 81v2 = 0 Solving -180dv + 100d2 + 81v2 = 0 Solving for variable 'd'. Factor a trinomial. (10d + -9v)(10d + -9v) = 0Subproblem 1
Set the factor '(10d + -9v)' equal to zero and attempt to solve: Simplifying 10d + -9v = 0 Solving 10d + -9v = 0 Move all terms containing d to the left, all other terms to the right. Add '9v' to each side of the equation. 10d + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 10d + 0 = 0 + 9v 10d = 0 + 9v Remove the zero: 10d = 9v Divide each side by '10'. d = 0.9v Simplifying d = 0.9vSubproblem 2
Set the factor '(10d + -9v)' equal to zero and attempt to solve: Simplifying 10d + -9v = 0 Solving 10d + -9v = 0 Move all terms containing d to the left, all other terms to the right. Add '9v' to each side of the equation. 10d + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 10d + 0 = 0 + 9v 10d = 0 + 9v Remove the zero: 10d = 9v Divide each side by '10'. d = 0.9v Simplifying d = 0.9vSolution
d = {0.9v, 0.9v}
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