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Simplifying g2 + 3g = 208 Reorder the terms: 3g + g2 = 208 Solving 3g + g2 = 208 Solving for variable 'g'. Reorder the terms: -208 + 3g + g2 = 208 + -208 Combine like terms: 208 + -208 = 0 -208 + 3g + g2 = 0 Factor a trinomial. (-16 + -1g)(13 + -1g) = 0Subproblem 1
Set the factor '(-16 + -1g)' equal to zero and attempt to solve: Simplifying -16 + -1g = 0 Solving -16 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1g = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1g = 0 + 16 -1g = 0 + 16 Combine like terms: 0 + 16 = 16 -1g = 16 Divide each side by '-1'. g = -16 Simplifying g = -16Subproblem 2
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 = 13Solution
g = {-16, 13}
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