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Simplifying g2 + 3g = 238 Reorder the terms: 3g + g2 = 238 Solving 3g + g2 = 238 Solving for variable 'g'. Reorder the terms: -238 + 3g + g2 = 238 + -238 Combine like terms: 238 + -238 = 0 -238 + 3g + g2 = 0 Factor a trinomial. (-17 + -1g)(14 + -1g) = 0Subproblem 1
Set the factor '(-17 + -1g)' equal to zero and attempt to solve: Simplifying -17 + -1g = 0 Solving -17 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1g = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1g = 0 + 17 -1g = 0 + 17 Combine like terms: 0 + 17 = 17 -1g = 17 Divide each side by '-1'. g = -17 Simplifying g = -17Subproblem 2
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 = 14Solution
g = {-17, 14}
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