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Simplifying 144g2 + -240g + 100 = 0 Reorder the terms: 100 + -240g + 144g2 = 0 Solving 100 + -240g + 144g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + -60g + 36g2) = 0 Factor a trinomial. 4((5 + -6g)(5 + -6g)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -6g)' equal to zero and attempt to solve: Simplifying 5 + -6g = 0 Solving 5 + -6g = 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 + -6g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6g = 0 + -5 -6g = 0 + -5 Combine like terms: 0 + -5 = -5 -6g = -5 Divide each side by '-6'. g = 0.8333333333 Simplifying g = 0.8333333333Subproblem 2
Set the factor '(5 + -6g)' equal to zero and attempt to solve: Simplifying 5 + -6g = 0 Solving 5 + -6g = 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 + -6g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6g = 0 + -5 -6g = 0 + -5 Combine like terms: 0 + -5 = -5 -6g = -5 Divide each side by '-6'. g = 0.8333333333 Simplifying g = 0.8333333333Solution
g = {0.8333333333, 0.8333333333}
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