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Simplifying g2 + 2g + -143 = 0 Reorder the terms: -143 + 2g + g2 = 0 Solving -143 + 2g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-13 + -1g)(11 + -1g) = 0Subproblem 1
Set the factor '(-13 + -1g)' equal to zero and attempt to solve: Simplifying -13 + -1g = 0 Solving -13 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1g = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1g = 0 + 13 -1g = 0 + 13 Combine like terms: 0 + 13 = 13 -1g = 13 Divide each side by '-1'. g = -13 Simplifying g = -13Subproblem 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 = {-13, 11}
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