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Simplifying g2 + 5g = 126 Reorder the terms: 5g + g2 = 126 Solving 5g + g2 = 126 Solving for variable 'g'. Reorder the terms: -126 + 5g + g2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 5g + g2 = 0 Factor a trinomial. (-14 + -1g)(9 + -1g) = 0Subproblem 1
Set the factor '(-14 + -1g)' equal to zero and attempt to solve: Simplifying -14 + -1g = 0 Solving -14 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1g = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1g = 0 + 14 -1g = 0 + 14 Combine like terms: 0 + 14 = 14 -1g = 14 Divide each side by '-1'. g = -14 Simplifying g = -14Subproblem 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 = {-14, 9}
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