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Simplifying g2 + g = 72 Reorder the terms: g + g2 = 72 Solving g + g2 = 72 Solving for variable 'g'. Reorder the terms: -72 + g + g2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + g + g2 = 0 Factor a trinomial. (-9 + -1g)(8 + -1g) = 0Subproblem 1
Set the factor '(-9 + -1g)' equal to zero and attempt to solve: Simplifying -9 + -1g = 0 Solving -9 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1g = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1g = 0 + 9 -1g = 0 + 9 Combine like terms: 0 + 9 = 9 -1g = 9 Divide each side by '-1'. g = -9 Simplifying g = -9Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve: Simplifying 8 + -1g = 0 Solving 8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1g = 0 + -8 -1g = 0 + -8 Combine like terms: 0 + -8 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8Solution
g = {-9, 8}
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