logarithmx=logarithm(x^2-12)

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Solution for logarithmx=logarithm(x^2-12) equation:


Simplifying
logarithmx = logarithm(x2 + -12)

Reorder the terms:
aghilmortx = aghilmort(-12 + x2)
aghilmortx = (-12 * aghilmort + x2 * aghilmort)
aghilmortx = (-12aghilmort + aghilmortx2)

Solving
aghilmortx = -12aghilmort + aghilmortx2

Solving for variable 'a'.

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

Add '12aghilmort' to each side of the equation.
12aghilmort + aghilmortx = -12aghilmort + 12aghilmort + aghilmortx2

Combine like terms: -12aghilmort + 12aghilmort = 0
12aghilmort + aghilmortx = 0 + aghilmortx2
12aghilmort + aghilmortx = aghilmortx2

Add '-1aghilmortx2' to each side of the equation.
12aghilmort + aghilmortx + -1aghilmortx2 = aghilmortx2 + -1aghilmortx2

Combine like terms: aghilmortx2 + -1aghilmortx2 = 0
12aghilmort + aghilmortx + -1aghilmortx2 = 0

Factor out the Greatest Common Factor (GCF), 'aghilmort'.
aghilmort(12 + x + -1x2) = 0

Factor a trinomial.
aghilmort((4 + -1x)(3 + x)) = 0

Subproblem 1

Set the factor 'aghilmort' equal to zero and attempt to solve: Simplifying aghilmort = 0 Solving aghilmort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aghilmort = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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