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Simplifying g2 + -15g = 54 Reorder the terms: -15g + g2 = 54 Solving -15g + g2 = 54 Solving for variable 'g'. Reorder the terms: -54 + -15g + g2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + -15g + g2 = 0 Factor a trinomial. (-3 + -1g)(18 + -1g) = 0Subproblem 1
Set the factor '(-3 + -1g)' equal to zero and attempt to solve: Simplifying -3 + -1g = 0 Solving -3 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1g = 0 + 3 -1g = 0 + 3 Combine like terms: 0 + 3 = 3 -1g = 3 Divide each side by '-1'. g = -3 Simplifying g = -3Subproblem 2
Set the factor '(18 + -1g)' equal to zero and attempt to solve: Simplifying 18 + -1g = 0 Solving 18 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1g = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1g = 0 + -18 -1g = 0 + -18 Combine like terms: 0 + -18 = -18 -1g = -18 Divide each side by '-1'. g = 18 Simplifying g = 18Solution
g = {-3, 18}
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