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Simplifying 20v2 + 100vg + 125g2 = 0 Reorder the terms: 100gv + 125g2 + 20v2 = 0 Solving 100gv + 125g2 + 20v2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '5'. 5(20gv + 25g2 + 4v2) = 0 Factor a trinomial. 5((5g + 2v)(5g + 2v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5g + 2v)' equal to zero and attempt to solve: Simplifying 5g + 2v = 0 Solving 5g + 2v = 0 Move all terms containing g to the left, all other terms to the right. Add '-2v' to each side of the equation. 5g + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 5g + 0 = 0 + -2v 5g = 0 + -2v Remove the zero: 5g = -2v Divide each side by '5'. g = -0.4v Simplifying g = -0.4vSubproblem 2
Set the factor '(5g + 2v)' equal to zero and attempt to solve: Simplifying 5g + 2v = 0 Solving 5g + 2v = 0 Move all terms containing g to the left, all other terms to the right. Add '-2v' to each side of the equation. 5g + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 5g + 0 = 0 + -2v 5g = 0 + -2v Remove the zero: 5g = -2v Divide each side by '5'. g = -0.4v Simplifying g = -0.4vSolution
g = {-0.4v, -0.4v}
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