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Simplifying v2 + -7vg + -30g2 = 0 Reorder the terms: -7gv + -30g2 + v2 = 0 Solving -7gv + -30g2 + v2 = 0 Solving for variable 'g'. Factor a trinomial. (-3g + -1v)(10g + -1v) = 0Subproblem 1
Set the factor '(-3g + -1v)' equal to zero and attempt to solve: Simplifying -3g + -1v = 0 Solving -3g + -1v = 0 Move all terms containing g to the left, all other terms to the right. Add 'v' to each side of the equation. -3g + -1v + v = 0 + v Combine like terms: -1v + v = 0 -3g + 0 = 0 + v -3g = 0 + v Remove the zero: -3g = v Divide each side by '-3'. g = -0.3333333333v Simplifying g = -0.3333333333vSubproblem 2
Set the factor '(10g + -1v)' equal to zero and attempt to solve: Simplifying 10g + -1v = 0 Solving 10g + -1v = 0 Move all terms containing g to the left, all other terms to the right. Add 'v' to each side of the equation. 10g + -1v + v = 0 + v Combine like terms: -1v + v = 0 10g + 0 = 0 + v 10g = 0 + v Remove the zero: 10g = v Divide each side by '10'. g = 0.1v Simplifying g = 0.1vSolution
g = {-0.3333333333v, 0.1v}
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