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Simplifying 9g(4 + -2g + -5h) = 0 (4 * 9g + -2g * 9g + -5h * 9g) = 0 Reorder the terms: (36g + -45gh + -18g2) = 0 (36g + -45gh + -18g2) = 0 Solving 36g + -45gh + -18g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '9g'. 9g(4 + -5h + -2g) = 0 Ignore the factor 9.Subproblem 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 '(4 + -5h + -2g)' equal to zero and attempt to solve: Simplifying 4 + -5h + -2g = 0 Reorder the terms: 4 + -2g + -5h = 0 Solving 4 + -2g + -5h = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2g + -4 + -5h = 0 + -4 Reorder the terms: 4 + -4 + -2g + -5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2g + -5h = 0 + -4 -2g + -5h = 0 + -4 Combine like terms: 0 + -4 = -4 -2g + -5h = -4 Add '5h' to each side of the equation. -2g + -5h + 5h = -4 + 5h Combine like terms: -5h + 5h = 0 -2g + 0 = -4 + 5h -2g = -4 + 5h Divide each side by '-2'. g = 2 + -2.5h Simplifying g = 2 + -2.5hSolution
g = {0, 2 + -2.5h}
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