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Simplifying 2g(3g + -5) = 0 Reorder the terms: 2g(-5 + 3g) = 0 (-5 * 2g + 3g * 2g) = 0 (-10g + 6g2) = 0 Solving -10g + 6g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(-5 + 3g) = 0 Ignore the factor 2.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 '(-5 + 3g)' equal to zero and attempt to solve: Simplifying -5 + 3g = 0 Solving -5 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3g = 0 + 5 3g = 0 + 5 Combine like terms: 0 + 5 = 5 3g = 5 Divide each side by '3'. g = 1.666666667 Simplifying g = 1.666666667Solution
g = {0, 1.666666667}
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