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Simplifying 64v2 + -16vg + g2 = 0 Reorder the terms: -16gv + g2 + 64v2 = 0 Solving -16gv + g2 + 64v2 = 0 Solving for variable 'g'. Factor a trinomial. (g + -8v)(g + -8v) = 0Subproblem 1
Set the factor '(g + -8v)' equal to zero and attempt to solve: Simplifying g + -8v = 0 Solving g + -8v = 0 Move all terms containing g to the left, all other terms to the right. Add '8v' to each side of the equation. g + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 g + 0 = 0 + 8v g = 0 + 8v Remove the zero: g = 8v Simplifying g = 8vSubproblem 2
Set the factor '(g + -8v)' equal to zero and attempt to solve: Simplifying g + -8v = 0 Solving g + -8v = 0 Move all terms containing g to the left, all other terms to the right. Add '8v' to each side of the equation. g + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 g + 0 = 0 + 8v g = 0 + 8v Remove the zero: g = 8v Simplifying g = 8vSolution
g = {8v, 8v}
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