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Simplifying -8g(h + -3g) = 0 Reorder the terms: -8g(-3g + h) = 0 (-3g * -8g + h * -8g) = 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(-1h + 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 '(-1h + 3g)' equal to zero and attempt to solve: Simplifying -1h + 3g = 0 Reorder the terms: 3g + -1h = 0 Solving 3g + -1h = 0 Move all terms containing g to the left, all other terms to the right. Add 'h' to each side of the equation. 3g + -1h + h = 0 + h Combine like terms: -1h + h = 0 3g + 0 = 0 + h 3g = 0 + h Remove the zero: 3g = h Divide each side by '3'. g = 0.3333333333h Simplifying g = 0.3333333333hSolution
g = {0, 0.3333333333h}
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