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Simplifying 16v2 + 40vg + 25g2 = 0 Reorder the terms: 40gv + 25g2 + 16v2 = 0 Solving 40gv + 25g2 + 16v2 = 0 Solving for variable 'g'. Factor a trinomial. (5g + 4v)(5g + 4v) = 0Subproblem 1
Set the factor '(5g + 4v)' equal to zero and attempt to solve: Simplifying 5g + 4v = 0 Solving 5g + 4v = 0 Move all terms containing g to the left, all other terms to the right. Add '-4v' to each side of the equation. 5g + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 5g + 0 = 0 + -4v 5g = 0 + -4v Remove the zero: 5g = -4v Divide each side by '5'. g = -0.8v Simplifying g = -0.8vSubproblem 2
Set the factor '(5g + 4v)' equal to zero and attempt to solve: Simplifying 5g + 4v = 0 Solving 5g + 4v = 0 Move all terms containing g to the left, all other terms to the right. Add '-4v' to each side of the equation. 5g + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 5g + 0 = 0 + -4v 5g = 0 + -4v Remove the zero: 5g = -4v Divide each side by '5'. g = -0.8v Simplifying g = -0.8vSolution
g = {-0.8v, -0.8v}
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