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Simplifying g2 + g = 20 Reorder the terms: g + g2 = 20 Solving g + g2 = 20 Solving for variable 'g'. Reorder the terms: -20 + g + g2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + g + g2 = 0 Factor a trinomial. (-5 + -1g)(4 + -1g) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Solution
g = {-5, 4}
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