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Simplifying 35g2 + -2gh + -24h2 = 0 Reorder the terms: -2gh + 35g2 + -24h2 = 0 Solving -2gh + 35g2 + -24h2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + -6h)(5g + 4h) = 0Subproblem 1
Set the factor '(7g + -6h)' equal to zero and attempt to solve: Simplifying 7g + -6h = 0 Solving 7g + -6h = 0 Move all terms containing g to the left, all other terms to the right. Add '6h' to each side of the equation. 7g + -6h + 6h = 0 + 6h Combine like terms: -6h + 6h = 0 7g + 0 = 0 + 6h 7g = 0 + 6h Remove the zero: 7g = 6h Divide each side by '7'. g = 0.8571428571h Simplifying g = 0.8571428571hSubproblem 2
Set the factor '(5g + 4h)' equal to zero and attempt to solve: Simplifying 5g + 4h = 0 Solving 5g + 4h = 0 Move all terms containing g to the left, all other terms to the right. Add '-4h' to each side of the equation. 5g + 4h + -4h = 0 + -4h Combine like terms: 4h + -4h = 0 5g + 0 = 0 + -4h 5g = 0 + -4h Remove the zero: 5g = -4h Divide each side by '5'. g = -0.8h Simplifying g = -0.8hSolution
g = {0.8571428571h, -0.8h}
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