ln(x^2-x)=ln(56)

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Solution for ln(x^2-x)=ln(56) equation:


Simplifying
ln(x2 + -1x) = ln(56)

Reorder the terms:
ln(-1x + x2) = ln(56)
(-1x * ln + x2 * ln) = ln(56)
(-1lnx + lnx2) = ln(56)

Reorder the terms for easier multiplication:
-1lnx + lnx2 = 56ln

Solving
-1lnx + lnx2 = 56ln

Solving for variable 'l'.

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

Add '-56ln' to each side of the equation.
-1lnx + -56ln + lnx2 = 56ln + -56ln

Reorder the terms:
-56ln + -1lnx + lnx2 = 56ln + -56ln

Combine like terms: 56ln + -56ln = 0
-56ln + -1lnx + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-56 + -1x + x2) = 0

Factor a trinomial.
ln((-7 + -1x)(8 + -1x)) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Add 'x' to each side of the equation. -1x + x = 7 + x Combine like terms: -1x + x = 0 0 = 7 + x Simplifying 0 = 7 + 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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