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Simplifying 4g(-6g + 2h) = 0 (-6g * 4g + 2h * 4g) = 0 Reorder the terms: (8gh + -24g2) = 0 (8gh + -24g2) = 0 Solving 8gh + -24g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '8g'. 8g(h + -3g) = 0 Ignore the factor 8.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 '(h + -3g)' equal to zero and attempt to solve: Simplifying h + -3g = 0 Reorder the terms: -3g + h = 0 Solving -3g + h = 0 Move all terms containing g to the left, all other terms to the right. Add '-1h' to each side of the equation. -3g + h + -1h = 0 + -1h Combine like terms: h + -1h = 0 -3g + 0 = 0 + -1h -3g = 0 + -1h Remove the zero: -3g = -1h Divide each side by '-3'. g = 0.3333333333h Simplifying g = 0.3333333333hSolution
g = {0, 0.3333333333h}
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