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