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Simplifying 9v2 + -24vg + 16g2 = 0 Reorder the terms: -24gv + 16g2 + 9v2 = 0 Solving -24gv + 16g2 + 9v2 = 0 Solving for variable 'g'. Factor a trinomial. (4g + -3v)(4g + -3v) = 0Subproblem 1
Set the factor '(4g + -3v)' equal to zero and attempt to solve: Simplifying 4g + -3v = 0 Solving 4g + -3v = 0 Move all terms containing g to the left, all other terms to the right. Add '3v' to each side of the equation. 4g + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4g + 0 = 0 + 3v 4g = 0 + 3v Remove the zero: 4g = 3v Divide each side by '4'. g = 0.75v Simplifying g = 0.75vSubproblem 2
Set the factor '(4g + -3v)' equal to zero and attempt to solve: Simplifying 4g + -3v = 0 Solving 4g + -3v = 0 Move all terms containing g to the left, all other terms to the right. Add '3v' to each side of the equation. 4g + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4g + 0 = 0 + 3v 4g = 0 + 3v Remove the zero: 4g = 3v Divide each side by '4'. g = 0.75v Simplifying g = 0.75vSolution
g = {0.75v, 0.75v}
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