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Simplifying g2 + 11g = 180 Reorder the terms: 11g + g2 = 180 Solving 11g + g2 = 180 Solving for variable 'g'. Reorder the terms: -180 + 11g + g2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 11g + g2 = 0 Factor a trinomial. (-20 + -1g)(9 + -1g) = 0Subproblem 1
Set the factor '(-20 + -1g)' equal to zero and attempt to solve: Simplifying -20 + -1g = 0 Solving -20 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1g = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1g = 0 + 20 -1g = 0 + 20 Combine like terms: 0 + 20 = 20 -1g = 20 Divide each side by '-1'. g = -20 Simplifying g = -20Subproblem 2
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 = 9Solution
g = {-20, 9}
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