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Simplifying g2 = -11g + -28 Reorder the terms: g2 = -28 + -11g Solving g2 = -28 + -11g Solving for variable 'g'. Reorder the terms: 28 + 11g + g2 = -28 + -11g + 28 + 11g Reorder the terms: 28 + 11g + g2 = -28 + 28 + -11g + 11g Combine like terms: -28 + 28 = 0 28 + 11g + g2 = 0 + -11g + 11g 28 + 11g + g2 = -11g + 11g Combine like terms: -11g + 11g = 0 28 + 11g + g2 = 0 Factor a trinomial. (7 + g)(4 + g) = 0Subproblem 1
Set the factor '(7 + g)' equal to zero and attempt to solve: Simplifying 7 + g = 0 Solving 7 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + g = 0 + -7 g = 0 + -7 Combine like terms: 0 + -7 = -7 g = -7 Simplifying g = -7Subproblem 2
Set the factor '(4 + g)' equal to zero and attempt to solve: Simplifying 4 + g = 0 Solving 4 + g = 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 + g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + g = 0 + -4 g = 0 + -4 Combine like terms: 0 + -4 = -4 g = -4 Simplifying g = -4Solution
g = {-7, -4}
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