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Simplifying 25v2 + 40vg + 16g2 = 0 Reorder the terms: 40gv + 16g2 + 25v2 = 0 Solving 40gv + 16g2 + 25v2 = 0 Solving for variable 'g'. Factor a trinomial. (4g + 5v)(4g + 5v) = 0Subproblem 1
Set the factor '(4g + 5v)' equal to zero and attempt to solve: Simplifying 4g + 5v = 0 Solving 4g + 5v = 0 Move all terms containing g to the left, all other terms to the right. Add '-5v' to each side of the equation. 4g + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 4g + 0 = 0 + -5v 4g = 0 + -5v Remove the zero: 4g = -5v Divide each side by '4'. g = -1.25v Simplifying g = -1.25vSubproblem 2
Set the factor '(4g + 5v)' equal to zero and attempt to solve: Simplifying 4g + 5v = 0 Solving 4g + 5v = 0 Move all terms containing g to the left, all other terms to the right. Add '-5v' to each side of the equation. 4g + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 4g + 0 = 0 + -5v 4g = 0 + -5v Remove the zero: 4g = -5v Divide each side by '4'. g = -1.25v Simplifying g = -1.25vSolution
g = {-1.25v, -1.25v}
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