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