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Simplifying g2 + g = 132 Reorder the terms: g + g2 = 132 Solving g + g2 = 132 Solving for variable 'g'. Reorder the terms: -132 + g + g2 = 132 + -132 Combine like terms: 132 + -132 = 0 -132 + g + g2 = 0 Factor a trinomial. (-12 + -1g)(11 + -1g) = 0Subproblem 1
Set the factor '(-12 + -1g)' equal to zero and attempt to solve: Simplifying -12 + -1g = 0 Solving -12 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1g = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1g = 0 + 12 -1g = 0 + 12 Combine like terms: 0 + 12 = 12 -1g = 12 Divide each side by '-1'. g = -12 Simplifying g = -12Subproblem 2
Set the factor '(11 + -1g)' equal to zero and attempt to solve: Simplifying 11 + -1g = 0 Solving 11 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1g = 0 + -11 -1g = 0 + -11 Combine like terms: 0 + -11 = -11 -1g = -11 Divide each side by '-1'. g = 11 Simplifying g = 11Solution
g = {-12, 11}
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