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Simplifying Log(x2 + -25) + -1log(x + 5) = 0 Reorder the terms: goL(-25 + x2) + -1log(x + 5) = 0 (-25 * goL + x2 * goL) + -1log(x + 5) = 0 (-25goL + gox2L) + -1log(x + 5) = 0 Reorder the terms: -25goL + gox2L + -1glo(5 + x) = 0 -25goL + gox2L + (5 * -1glo + x * -1glo) = 0 -25goL + gox2L + (-5glo + -1glox) = 0 Reorder the terms: -5glo + -1glox + -25goL + gox2L = 0 Solving -5glo + -1glox + -25goL + gox2L = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'go'. go(-5l + -1lx + -25L + x2L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5l + -1lx + -25L + x2L)' equal to zero and attempt to solve: Simplifying -5l + -1lx + -25L + x2L = 0 Reorder the terms: -25L + -5l + -1lx + x2L = 0 Solving -25L + -5l + -1lx + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '25L' to each side of the equation. -25L + -5l + -1lx + 25L + x2L = 0 + 25L Reorder the terms: -25L + 25L + -5l + -1lx + x2L = 0 + 25L Combine like terms: -25L + 25L = 0 0 + -5l + -1lx + x2L = 0 + 25L -5l + -1lx + x2L = 0 + 25L Remove the zero: -5l + -1lx + x2L = 25L Add '5l' to each side of the equation. -5l + -1lx + 5l + x2L = 25L + 5l Reorder the terms: -5l + 5l + -1lx + x2L = 25L + 5l Combine like terms: -5l + 5l = 0 0 + -1lx + x2L = 25L + 5l -1lx + x2L = 25L + 5l Add 'lx' to each side of the equation. -1lx + lx + x2L = 25L + 5l + lx Combine like terms: -1lx + lx = 0 0 + x2L = 25L + 5l + lx x2L = 25L + 5l + lx Add '-1x2L' to each side of the equation. x2L + -1x2L = 25L + 5l + lx + -1x2L Combine like terms: x2L + -1x2L = 0 0 = 25L + 5l + lx + -1x2L Simplifying 0 = 25L + 5l + lx + -1x2L The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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