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Simplifying 4v2 + -36vy + 81y2 = 0 Reorder the terms: -36vy + 4v2 + 81y2 = 0 Solving -36vy + 4v2 + 81y2 = 0 Solving for variable 'v'. Factor a trinomial. (2v + -9y)(2v + -9y) = 0Subproblem 1
Set the factor '(2v + -9y)' equal to zero and attempt to solve: Simplifying 2v + -9y = 0 Solving 2v + -9y = 0 Move all terms containing v to the left, all other terms to the right. Add '9y' to each side of the equation. 2v + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 2v + 0 = 0 + 9y 2v = 0 + 9y Remove the zero: 2v = 9y Divide each side by '2'. v = 4.5y Simplifying v = 4.5ySubproblem 2
Set the factor '(2v + -9y)' equal to zero and attempt to solve: Simplifying 2v + -9y = 0 Solving 2v + -9y = 0 Move all terms containing v to the left, all other terms to the right. Add '9y' to each side of the equation. 2v + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 2v + 0 = 0 + 9y 2v = 0 + 9y Remove the zero: 2v = 9y Divide each side by '2'. v = 4.5y Simplifying v = 4.5ySolution
v = {4.5y, 4.5y}
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