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Simplifying (logx)(logx) + -1logx + -12 = 0 Multiply glox * glox g2l2o2x2 + -1logx + -12 = 0 Reorder the terms: -12 + -1glox + g2l2o2x2 = 0 Solving -12 + -1glox + g2l2o2x2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -1glox)(4 + -1glox) = 0Subproblem 1
Set the factor '(-3 + -1glox)' equal to zero and attempt to solve: Simplifying -3 + -1glox = 0 Solving -3 + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1glox = 0 + 3 -1glox = 0 + 3 Combine like terms: 0 + 3 = 3 -1glox = 3 Divide each side by '-1lox'. g = -3l-1o-1x-1 Simplifying g = -3l-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 = {-3l-1o-1x-1, 4l-1o-1x-1}
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