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Simplifying g2 + -12gh + 35h2 = 0 Reorder the terms: -12gh + g2 + 35h2 = 0 Solving -12gh + g2 + 35h2 = 0 Solving for variable 'g'. Factor a trinomial. (g + -7h)(g + -5h) = 0Subproblem 1
Set the factor '(g + -7h)' equal to zero and attempt to solve: Simplifying g + -7h = 0 Solving g + -7h = 0 Move all terms containing g to the left, all other terms to the right. Add '7h' to each side of the equation. g + -7h + 7h = 0 + 7h Combine like terms: -7h + 7h = 0 g + 0 = 0 + 7h g = 0 + 7h Remove the zero: g = 7h Simplifying g = 7hSubproblem 2
Set the factor '(g + -5h)' equal to zero and attempt to solve: Simplifying g + -5h = 0 Solving g + -5h = 0 Move all terms containing g to the left, all other terms to the right. Add '5h' to each side of the equation. g + -5h + 5h = 0 + 5h Combine like terms: -5h + 5h = 0 g + 0 = 0 + 5h g = 0 + 5h Remove the zero: g = 5h Simplifying g = 5hSolution
g = {7h, 5h}
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