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Simplifying g2 + g = 90 Reorder the terms: g + g2 = 90 Solving g + g2 = 90 Solving for variable 'g'. Reorder the terms: -90 + g + g2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + g + g2 = 0 Factor a trinomial. (-10 + -1g)(9 + -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 '(9 + -1g)' equal to zero and attempt to solve: Simplifying 9 + -1g = 0 Solving 9 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1g = 0 + -9 -1g = 0 + -9 Combine like terms: 0 + -9 = -9 -1g = -9 Divide each side by '-1'. g = 9 Simplifying g = 9Solution
g = {-10, 9}
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