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Simplifying g2 + 20 = 12g Reorder the terms: 20 + g2 = 12g Solving 20 + g2 = 12g Solving for variable 'g'. Reorder the terms: 20 + -12g + g2 = 12g + -12g Combine like terms: 12g + -12g = 0 20 + -12g + g2 = 0 Factor a trinomial. (2 + -1g)(10 + -1g) = 0Subproblem 1
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Subproblem 2
Set the factor '(10 + -1g)' equal to zero and attempt to solve: Simplifying 10 + -1g = 0 Solving 10 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1g = 0 + -10 -1g = 0 + -10 Combine like terms: 0 + -10 = -10 -1g = -10 Divide each side by '-1'. g = 10 Simplifying g = 10Solution
g = {2, 10}
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