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Simplifying 18g2 + 9gh + -14h2 = 0 Reorder the terms: 9gh + 18g2 + -14h2 = 0 Solving 9gh + 18g2 + -14h2 = 0 Solving for variable 'g'. Factor a trinomial. (3g + -2h)(6g + 7h) = 0Subproblem 1
Set the factor '(3g + -2h)' equal to zero and attempt to solve: Simplifying 3g + -2h = 0 Solving 3g + -2h = 0 Move all terms containing g to the left, all other terms to the right. Add '2h' to each side of the equation. 3g + -2h + 2h = 0 + 2h Combine like terms: -2h + 2h = 0 3g + 0 = 0 + 2h 3g = 0 + 2h Remove the zero: 3g = 2h Divide each side by '3'. g = 0.6666666667h Simplifying g = 0.6666666667hSubproblem 2
Set the factor '(6g + 7h)' equal to zero and attempt to solve: Simplifying 6g + 7h = 0 Solving 6g + 7h = 0 Move all terms containing g to the left, all other terms to the right. Add '-7h' to each side of the equation. 6g + 7h + -7h = 0 + -7h Combine like terms: 7h + -7h = 0 6g + 0 = 0 + -7h 6g = 0 + -7h Remove the zero: 6g = -7h Divide each side by '6'. g = -1.166666667h Simplifying g = -1.166666667hSolution
g = {0.6666666667h, -1.166666667h}
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