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Simplifying v2 + 14vy + 49y2 = 0 Reorder the terms: 14vy + v2 + 49y2 = 0 Solving 14vy + v2 + 49y2 = 0 Solving for variable 'v'. Factor a trinomial. (v + 7y)(v + 7y) = 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 + 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 = -7ySolution
v = {-7y, -7y}
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