Log(-11x-2)=log(x^2+26)

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Solution for Log(-11x-2)=log(x^2+26) equation:


Simplifying
Log(-11x + -2) = log(x2 + 26)

Reorder the terms:
goL(-2 + -11x) = log(x2 + 26)
(-2 * goL + -11x * goL) = log(x2 + 26)
(-2goL + -11goxL) = log(x2 + 26)

Reorder the terms:
-2goL + -11goxL = glo(26 + x2)
-2goL + -11goxL = (26 * glo + x2 * glo)
-2goL + -11goxL = (26glo + glox2)

Solving
-2goL + -11goxL = 26glo + glox2

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-26glo' to each side of the equation.
-2goL + -26glo + -11goxL = 26glo + -26glo + glox2

Reorder the terms:
-26glo + -2goL + -11goxL = 26glo + -26glo + glox2

Combine like terms: 26glo + -26glo = 0
-26glo + -2goL + -11goxL = 0 + glox2
-26glo + -2goL + -11goxL = glox2

Add '-1glox2' to each side of the equation.
-26glo + -2goL + -1glox2 + -11goxL = glox2 + -1glox2

Reorder the terms:
-26glo + -1glox2 + -2goL + -11goxL = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
-26glo + -1glox2 + -2goL + -11goxL = 0

Factor out the Greatest Common Factor (GCF), '-1go'.
-1go(26l + lx2 + 2L + 11xL) = 0

Ignore the factor -1.

Subproblem 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 '(26l + lx2 + 2L + 11xL)' equal to zero and attempt to solve: Simplifying 26l + lx2 + 2L + 11xL = 0 Reorder the terms: 2L + 26l + lx2 + 11xL = 0 Solving 2L + 26l + lx2 + 11xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + 26l + lx2 + -2L + 11xL = 0 + -2L Reorder the terms: 2L + -2L + 26l + lx2 + 11xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + 26l + lx2 + 11xL = 0 + -2L 26l + lx2 + 11xL = 0 + -2L Remove the zero: 26l + lx2 + 11xL = -2L Add '-26l' to each side of the equation. 26l + lx2 + -26l + 11xL = -2L + -26l Reorder the terms: 26l + -26l + lx2 + 11xL = -2L + -26l Combine like terms: 26l + -26l = 0 0 + lx2 + 11xL = -2L + -26l lx2 + 11xL = -2L + -26l Add '-1lx2' to each side of the equation. lx2 + -1lx2 + 11xL = -2L + -26l + -1lx2 Combine like terms: lx2 + -1lx2 = 0 0 + 11xL = -2L + -26l + -1lx2 11xL = -2L + -26l + -1lx2 Add '-11xL' to each side of the equation. 11xL + -11xL = -2L + -26l + -1lx2 + -11xL Combine like terms: 11xL + -11xL = 0 0 = -2L + -26l + -1lx2 + -11xL Simplifying 0 = -2L + -26l + -1lx2 + -11xL 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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