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Simplifying g2 + 15gh + 54h2 = 0 Reorder the terms: 15gh + g2 + 54h2 = 0 Solving 15gh + g2 + 54h2 = 0 Solving for variable 'g'. Factor a trinomial. (g + 6h)(g + 9h) = 0Subproblem 1
Set the factor '(g + 6h)' equal to zero and attempt to solve: Simplifying g + 6h = 0 Solving g + 6h = 0 Move all terms containing g to the left, all other terms to the right. Add '-6h' to each side of the equation. g + 6h + -6h = 0 + -6h Combine like terms: 6h + -6h = 0 g + 0 = 0 + -6h g = 0 + -6h Remove the zero: g = -6h Simplifying g = -6hSubproblem 2
Set the factor '(g + 9h)' equal to zero and attempt to solve: Simplifying g + 9h = 0 Solving g + 9h = 0 Move all terms containing g to the left, all other terms to the right. Add '-9h' to each side of the equation. g + 9h + -9h = 0 + -9h Combine like terms: 9h + -9h = 0 g + 0 = 0 + -9h g = 0 + -9h Remove the zero: g = -9h Simplifying g = -9hSolution
g = {-6h, -9h}
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