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Simplifying g2 + 13g = 90 Reorder the terms: 13g + g2 = 90 Solving 13g + g2 = 90 Solving for variable 'g'. Reorder the terms: -90 + 13g + g2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 13g + g2 = 0 Factor a trinomial. (-18 + -1g)(5 + -1g) = 0Subproblem 1
Set the factor '(-18 + -1g)' equal to zero and attempt to solve: Simplifying -18 + -1g = 0 Solving -18 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1g = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1g = 0 + 18 -1g = 0 + 18 Combine like terms: 0 + 18 = 18 -1g = 18 Divide each side by '-1'. g = -18 Simplifying g = -18Subproblem 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 = {-18, 5}
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