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Simplifying v2 + -4vy + -12y2 = 0 Reorder the terms: -4vy + v2 + -12y2 = 0 Solving -4vy + v2 + -12y2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -6y)(v + 2y) = 0Subproblem 1
Set the factor '(v + -6y)' equal to zero and attempt to solve: Simplifying v + -6y = 0 Solving v + -6y = 0 Move all terms containing v to the left, all other terms to the right. Add '6y' to each side of the equation. v + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 v + 0 = 0 + 6y v = 0 + 6y Remove the zero: v = 6y Simplifying v = 6ySubproblem 2
Set the factor '(v + 2y)' equal to zero and attempt to solve: Simplifying v + 2y = 0 Solving v + 2y = 0 Move all terms containing v to the left, all other terms to the right. Add '-2y' to each side of the equation. v + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 v + 0 = 0 + -2y v = 0 + -2y Remove the zero: v = -2y Simplifying v = -2ySolution
v = {6y, -2y}
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