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Simplifying g2 + -19g + 60 = 0 Reorder the terms: 60 + -19g + g2 = 0 Solving 60 + -19g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -1g)(15 + -1g) = 0Subproblem 1
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Subproblem 2
Set the factor '(15 + -1g)' equal to zero and attempt to solve: Simplifying 15 + -1g = 0 Solving 15 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1g = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1g = 0 + -15 -1g = 0 + -15 Combine like terms: 0 + -15 = -15 -1g = -15 Divide each side by '-1'. g = 15 Simplifying g = 15Solution
g = {4, 15}
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