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Simplifying g2 + 7g = 60 Reorder the terms: 7g + g2 = 60 Solving 7g + g2 = 60 Solving for variable 'g'. Reorder the terms: -60 + 7g + g2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 7g + g2 = 0 Factor a trinomial. (-12 + -1g)(5 + -1g) = 0Subproblem 1
Set the factor '(-12 + -1g)' equal to zero and attempt to solve: Simplifying -12 + -1g = 0 Solving -12 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1g = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1g = 0 + 12 -1g = 0 + 12 Combine like terms: 0 + 12 = 12 -1g = 12 Divide each side by '-1'. g = -12 Simplifying g = -12Subproblem 2
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 = 5Solution
g = {-12, 5}
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