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Simplifying 5g + g2 = 50 Solving 5g + g2 = 50 Solving for variable 'g'. Reorder the terms: -50 + 5g + g2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 5g + g2 = 0 Factor a trinomial. (-10 + -1g)(5 + -1g) = 0Subproblem 1
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 = -10Subproblem 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 = {-10, 5}
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