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Simplifying 25v2 + 20vg + 4g2 = 0 Reorder the terms: 20gv + 4g2 + 25v2 = 0 Solving 20gv + 4g2 + 25v2 = 0 Solving for variable 'g'. Factor a trinomial. (2g + 5v)(2g + 5v) = 0Subproblem 1
Set the factor '(2g + 5v)' equal to zero and attempt to solve: Simplifying 2g + 5v = 0 Solving 2g + 5v = 0 Move all terms containing g to the left, all other terms to the right. Add '-5v' to each side of the equation. 2g + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 2g + 0 = 0 + -5v 2g = 0 + -5v Remove the zero: 2g = -5v Divide each side by '2'. g = -2.5v Simplifying g = -2.5vSubproblem 2
Set the factor '(2g + 5v)' equal to zero and attempt to solve: Simplifying 2g + 5v = 0 Solving 2g + 5v = 0 Move all terms containing g to the left, all other terms to the right. Add '-5v' to each side of the equation. 2g + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 2g + 0 = 0 + -5v 2g = 0 + -5v Remove the zero: 2g = -5v Divide each side by '2'. g = -2.5v Simplifying g = -2.5vSolution
g = {-2.5v, -2.5v}
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