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Simplifying logx * logx + -2logx + -8 = 0 Multiply glox * glox g2l2o2x2 + -2logx + -8 = 0 Reorder the terms: -8 + -2glox + g2l2o2x2 = 0 Solving -8 + -2glox + g2l2o2x2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -1glox)(4 + -1glox) = 0Subproblem 1
Set the factor '(-2 + -1glox)' equal to zero and attempt to solve: Simplifying -2 + -1glox = 0 Solving -2 + -1glox = 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 + -1glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1glox = 0 + 2 -1glox = 0 + 2 Combine like terms: 0 + 2 = 2 -1glox = 2 Divide each side by '-1lox'. g = -2l-1o-1x-1 Simplifying g = -2l-1o-1x-1Subproblem 2
Set the factor '(4 + -1glox)' equal to zero and attempt to solve: Simplifying 4 + -1glox = 0 Solving 4 + -1glox = 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 + -1glox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1glox = 0 + -4 -1glox = 0 + -4 Combine like terms: 0 + -4 = -4 -1glox = -4 Divide each side by '-1lox'. g = 4l-1o-1x-1 Simplifying g = 4l-1o-1x-1Solution
g = {-2l-1o-1x-1, 4l-1o-1x-1}
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