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Simplifying v2 + -5vy + -14y2 = 0 Reorder the terms: -5vy + v2 + -14y2 = 0 Solving -5vy + v2 + -14y2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -7y)(v + 2y) = 0Subproblem 1
Set the factor '(v + -7y)' equal to zero and attempt to solve: Simplifying v + -7y = 0 Solving v + -7y = 0 Move all terms containing v to the left, all other terms to the right. Add '7y' to each side of the equation. v + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 v + 0 = 0 + 7y v = 0 + 7y Remove the zero: v = 7y Simplifying v = 7ySubproblem 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 = {7y, -2y}
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