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Simplifying 36y2 + 60yv + 25v2 = 0 Reorder the terms: 60vy + 25v2 + 36y2 = 0 Solving 60vy + 25v2 + 36y2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + 6y)(5v + 6y) = 0Subproblem 1
Set the factor '(5v + 6y)' equal to zero and attempt to solve: Simplifying 5v + 6y = 0 Solving 5v + 6y = 0 Move all terms containing v to the left, all other terms to the right. Add '-6y' to each side of the equation. 5v + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 5v + 0 = 0 + -6y 5v = 0 + -6y Remove the zero: 5v = -6y Divide each side by '5'. v = -1.2y Simplifying v = -1.2ySubproblem 2
Set the factor '(5v + 6y)' equal to zero and attempt to solve: Simplifying 5v + 6y = 0 Solving 5v + 6y = 0 Move all terms containing v to the left, all other terms to the right. Add '-6y' to each side of the equation. 5v + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 5v + 0 = 0 + -6y 5v = 0 + -6y Remove the zero: 5v = -6y Divide each side by '5'. v = -1.2y Simplifying v = -1.2ySolution
v = {-1.2y, -1.2y}
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