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Simplifying 48g2 + -22gh + -15h2 = 0 Reorder the terms: -22gh + 48g2 + -15h2 = 0 Solving -22gh + 48g2 + -15h2 = 0 Solving for variable 'g'. Factor a trinomial. (6g + -5h)(8g + 3h) = 0Subproblem 1
Set the factor '(6g + -5h)' equal to zero and attempt to solve: Simplifying 6g + -5h = 0 Solving 6g + -5h = 0 Move all terms containing g to the left, all other terms to the right. Add '5h' to each side of the equation. 6g + -5h + 5h = 0 + 5h Combine like terms: -5h + 5h = 0 6g + 0 = 0 + 5h 6g = 0 + 5h Remove the zero: 6g = 5h Divide each side by '6'. g = 0.8333333333h Simplifying g = 0.8333333333hSubproblem 2
Set the factor '(8g + 3h)' equal to zero and attempt to solve: Simplifying 8g + 3h = 0 Solving 8g + 3h = 0 Move all terms containing g to the left, all other terms to the right. Add '-3h' to each side of the equation. 8g + 3h + -3h = 0 + -3h Combine like terms: 3h + -3h = 0 8g + 0 = 0 + -3h 8g = 0 + -3h Remove the zero: 8g = -3h Divide each side by '8'. g = -0.375h Simplifying g = -0.375hSolution
g = {0.8333333333h, -0.375h}
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