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Simplifying g2 + 11g = 80 Reorder the terms: 11g + g2 = 80 Solving 11g + g2 = 80 Solving for variable 'g'. Reorder the terms: -80 + 11g + g2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 11g + g2 = 0 Factor a trinomial. (-16 + -1g)(5 + -1g) = 0Subproblem 1
Set the factor '(-16 + -1g)' equal to zero and attempt to solve: Simplifying -16 + -1g = 0 Solving -16 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1g = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1g = 0 + 16 -1g = 0 + 16 Combine like terms: 0 + 16 = 16 -1g = 16 Divide each side by '-1'. g = -16 Simplifying g = -16Subproblem 2
Set the factor '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5Solution
g = {-16, 5}
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