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Simplifying g2 + -13gh + 12h2 = 0 Reorder the terms: -13gh + g2 + 12h2 = 0 Solving -13gh + g2 + 12h2 = 0 Solving for variable 'g'. Factor a trinomial. (g + -12h)(g + -1h) = 0Subproblem 1
Set the factor '(g + -12h)' equal to zero and attempt to solve: Simplifying g + -12h = 0 Solving g + -12h = 0 Move all terms containing g to the left, all other terms to the right. Add '12h' to each side of the equation. g + -12h + 12h = 0 + 12h Combine like terms: -12h + 12h = 0 g + 0 = 0 + 12h g = 0 + 12h Remove the zero: g = 12h Simplifying g = 12hSubproblem 2
Set the factor '(g + -1h)' equal to zero and attempt to solve: Simplifying g + -1h = 0 Solving g + -1h = 0 Move all terms containing g to the left, all other terms to the right. Add 'h' to each side of the equation. g + -1h + h = 0 + h Combine like terms: -1h + h = 0 g + 0 = 0 + h g = 0 + h Remove the zero: g = h Simplifying g = hSolution
g = {12h, h}
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