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Simplifying v2 + -2vx + -63x2 = 0 Reorder the terms: -2vx + v2 + -63x2 = 0 Solving -2vx + v2 + -63x2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -9x)(v + 7x) = 0Subproblem 1
Set the factor '(v + -9x)' equal to zero and attempt to solve: Simplifying v + -9x = 0 Solving v + -9x = 0 Move all terms containing v to the left, all other terms to the right. Add '9x' to each side of the equation. v + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 v + 0 = 0 + 9x v = 0 + 9x Remove the zero: v = 9x Simplifying v = 9xSubproblem 2
Set the factor '(v + 7x)' equal to zero and attempt to solve: Simplifying v + 7x = 0 Solving v + 7x = 0 Move all terms containing v to the left, all other terms to the right. Add '-7x' to each side of the equation. v + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 v + 0 = 0 + -7x v = 0 + -7x Remove the zero: v = -7x Simplifying v = -7xSolution
v = {9x, -7x}
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