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Simplifying g2 + g + -110 = 0 Reorder the terms: -110 + g + g2 = 0 Solving -110 + g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-11 + -1g)(10 + -1g) = 0Subproblem 1
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 = -11Subproblem 2
Set the factor '(10 + -1g)' equal to zero and attempt to solve: Simplifying 10 + -1g = 0 Solving 10 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1g = 0 + -10 -1g = 0 + -10 Combine like terms: 0 + -10 = -10 -1g = -10 Divide each side by '-1'. g = 10 Simplifying g = 10Solution
g = {-11, 10}
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