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Simplifying 36v2 + -84vg + 49g2 = 0 Reorder the terms: -84gv + 49g2 + 36v2 = 0 Solving -84gv + 49g2 + 36v2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + -6v)(7g + -6v) = 0Subproblem 1
Set the factor '(7g + -6v)' equal to zero and attempt to solve: Simplifying 7g + -6v = 0 Solving 7g + -6v = 0 Move all terms containing g to the left, all other terms to the right. Add '6v' to each side of the equation. 7g + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7g + 0 = 0 + 6v 7g = 0 + 6v Remove the zero: 7g = 6v Divide each side by '7'. g = 0.8571428571v Simplifying g = 0.8571428571vSubproblem 2
Set the factor '(7g + -6v)' equal to zero and attempt to solve: Simplifying 7g + -6v = 0 Solving 7g + -6v = 0 Move all terms containing g to the left, all other terms to the right. Add '6v' to each side of the equation. 7g + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7g + 0 = 0 + 6v 7g = 0 + 6v Remove the zero: 7g = 6v Divide each side by '7'. g = 0.8571428571v Simplifying g = 0.8571428571vSolution
g = {0.8571428571v, 0.8571428571v}
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