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Simplifying 24g2 + 50gh + 21h2 = 0 Reorder the terms: 50gh + 24g2 + 21h2 = 0 Solving 50gh + 24g2 + 21h2 = 0 Solving for variable 'g'. Factor a trinomial. (12g + 7h)(2g + 3h) = 0Subproblem 1
Set the factor '(12g + 7h)' equal to zero and attempt to solve: Simplifying 12g + 7h = 0 Solving 12g + 7h = 0 Move all terms containing g to the left, all other terms to the right. Add '-7h' to each side of the equation. 12g + 7h + -7h = 0 + -7h Combine like terms: 7h + -7h = 0 12g + 0 = 0 + -7h 12g = 0 + -7h Remove the zero: 12g = -7h Divide each side by '12'. g = -0.5833333333h Simplifying g = -0.5833333333hSubproblem 2
Set the factor '(2g + 3h)' equal to zero and attempt to solve: Simplifying 2g + 3h = 0 Solving 2g + 3h = 0 Move all terms containing g to the left, all other terms to the right. Add '-3h' to each side of the equation. 2g + 3h + -3h = 0 + -3h Combine like terms: 3h + -3h = 0 2g + 0 = 0 + -3h 2g = 0 + -3h Remove the zero: 2g = -3h Divide each side by '2'. g = -1.5h Simplifying g = -1.5hSolution
g = {-0.5833333333h, -1.5h}
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