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Simplifying 2g + -3g(g + -1h) = 0 2g + (g * -3g + -1h * -3g) = 0 Reorder the terms: 2g + (3gh + -3g2) = 0 2g + (3gh + -3g2) = 0 Solving 2g + 3gh + -3g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(2 + 3h + -3g) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(2 + 3h + -3g)' equal to zero and attempt to solve: Simplifying 2 + 3h + -3g = 0 Reorder the terms: 2 + -3g + 3h = 0 Solving 2 + -3g + 3h = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3g + -2 + 3h = 0 + -2 Reorder the terms: 2 + -2 + -3g + 3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3g + 3h = 0 + -2 -3g + 3h = 0 + -2 Combine like terms: 0 + -2 = -2 -3g + 3h = -2 Add '-3h' to each side of the equation. -3g + 3h + -3h = -2 + -3h Combine like terms: 3h + -3h = 0 -3g + 0 = -2 + -3h -3g = -2 + -3h Divide each side by '-3'. g = 0.6666666667 + h Simplifying g = 0.6666666667 + hSolution
g = {0, 0.6666666667 + h}
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