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Simplifying g2 + 13g = 140 Reorder the terms: 13g + g2 = 140 Solving 13g + g2 = 140 Solving for variable 'g'. Reorder the terms: -140 + 13g + g2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + 13g + g2 = 0 Factor a trinomial. (-20 + -1g)(7 + -1g) = 0Subproblem 1
Set the factor '(-20 + -1g)' equal to zero and attempt to solve: Simplifying -20 + -1g = 0 Solving -20 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1g = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1g = 0 + 20 -1g = 0 + 20 Combine like terms: 0 + 20 = 20 -1g = 20 Divide each side by '-1'. g = -20 Simplifying g = -20Subproblem 2
Set the factor '(7 + -1g)' equal to zero and attempt to solve: Simplifying 7 + -1g = 0 Solving 7 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1g = 0 + -7 -1g = 0 + -7 Combine like terms: 0 + -7 = -7 -1g = -7 Divide each side by '-1'. g = 7 Simplifying g = 7Solution
g = {-20, 7}
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