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Simplifying v2 + -7vy + -30y2 = 0 Reorder the terms: -7vy + v2 + -30y2 = 0 Solving -7vy + v2 + -30y2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -10y)(v + 3y) = 0Subproblem 1
Set the factor '(v + -10y)' equal to zero and attempt to solve: Simplifying v + -10y = 0 Solving v + -10y = 0 Move all terms containing v to the left, all other terms to the right. Add '10y' to each side of the equation. v + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 v + 0 = 0 + 10y v = 0 + 10y Remove the zero: v = 10y Simplifying v = 10ySubproblem 2
Set the factor '(v + 3y)' equal to zero and attempt to solve: Simplifying v + 3y = 0 Solving v + 3y = 0 Move all terms containing v to the left, all other terms to the right. Add '-3y' to each side of the equation. v + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 v + 0 = 0 + -3y v = 0 + -3y Remove the zero: v = -3y Simplifying v = -3ySolution
v = {10y, -3y}
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