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Simplifying lgx(lgx + -8) + 16 = 0 Reorder the terms: glx(-8 + glx) + 16 = 0 (-8 * glx + glx * glx) + 16 = 0 (-8glx + g2l2x2) + 16 = 0 Reorder the terms: 16 + -8glx + g2l2x2 = 0 Solving 16 + -8glx + g2l2x2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -1glx)(4 + -1glx) = 0Subproblem 1
Set the factor '(4 + -1glx)' equal to zero and attempt to solve: Simplifying 4 + -1glx = 0 Solving 4 + -1glx = 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 + -1glx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1glx = 0 + -4 -1glx = 0 + -4 Combine like terms: 0 + -4 = -4 -1glx = -4 Divide each side by '-1lx'. g = 4l-1x-1 Simplifying g = 4l-1x-1Subproblem 2
Set the factor '(4 + -1glx)' equal to zero and attempt to solve: Simplifying 4 + -1glx = 0 Solving 4 + -1glx = 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 + -1glx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1glx = 0 + -4 -1glx = 0 + -4 Combine like terms: 0 + -4 = -4 -1glx = -4 Divide each side by '-1lx'. g = 4l-1x-1 Simplifying g = 4l-1x-1Solution
g = {4l-1x-1, 4l-1x-1}
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