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Simplifying g2 + -25g = -84 Reorder the terms: -25g + g2 = -84 Solving -25g + g2 = -84 Solving for variable 'g'. Reorder the terms: 84 + -25g + g2 = -84 + 84 Combine like terms: -84 + 84 = 0 84 + -25g + g2 = 0 Factor a trinomial. (4 + -1g)(21 + -1g) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(21 + -1g)' equal to zero and attempt to solve: Simplifying 21 + -1g = 0 Solving 21 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1g = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1g = 0 + -21 -1g = 0 + -21 Combine like terms: 0 + -21 = -21 -1g = -21 Divide each side by '-1'. g = 21 Simplifying g = 21Solution
g = {4, 21}
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