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Simplifying g2 + 7g = 44 Reorder the terms: 7g + g2 = 44 Solving 7g + g2 = 44 Solving for variable 'g'. Reorder the terms: -44 + 7g + g2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 7g + g2 = 0 Factor a trinomial. (-11 + -1g)(4 + -1g) = 0Subproblem 1
Set the factor '(-11 + -1g)' equal to zero and attempt to solve: Simplifying -11 + -1g = 0 Solving -11 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1g = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1g = 0 + 11 -1g = 0 + 11 Combine like terms: 0 + 11 = 11 -1g = 11 Divide each side by '-1'. g = -11 Simplifying g = -11Subproblem 2
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 = 4Solution
g = {-11, 4}
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