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Simplifying g2 + 7g + 12.25 = 156.25 Reorder the terms: 12.25 + 7g + g2 = 156.25 Solving 12.25 + 7g + g2 = 156.25 Solving for variable 'g'. Reorder the terms: 12.25 + -156.25 + 7g + g2 = 156.25 + -156.25 Combine like terms: 12.25 + -156.25 = -144 -144 + 7g + g2 = 156.25 + -156.25 Combine like terms: 156.25 + -156.25 = 0.00 -144 + 7g + g2 = 0.00 Factor a trinomial. (-16 + -1g)(9 + -1g) = 0.00Subproblem 1
Set the factor '(-16 + -1g)' equal to zero and attempt to solve: Simplifying -16 + -1g = 0 Solving -16 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1g = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1g = 0 + 16 -1g = 0 + 16 Combine like terms: 0 + 16 = 16 -1g = 16 Divide each side by '-1'. g = -16 Simplifying g = -16Subproblem 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 = {-16, 9}
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