=8ln(x-x^2)

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Solution for =8ln(x-x^2) equation:


Simplifying
0 = 8ln(x + -1x2)
0 = (x * 8ln + -1x2 * 8ln)
0 = (8lnx + -8lnx2)

Solving
0 = 8lnx + -8lnx2

Solving for variable 'l'.

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

Add '-8lnx' to each side of the equation.
0 + -8lnx = 8lnx + -8lnx + -8lnx2
Remove the zero:
-8lnx = 8lnx + -8lnx + -8lnx2

Combine like terms: 8lnx + -8lnx = 0
-8lnx = 0 + -8lnx2
-8lnx = -8lnx2

Add '8lnx2' to each side of the equation.
-8lnx + 8lnx2 = -8lnx2 + 8lnx2

Combine like terms: -8lnx2 + 8lnx2 = 0
-8lnx + 8lnx2 = 0

Factor out the Greatest Common Factor (GCF), '8lnx'.
8lnx(-1 + x) = 0

Ignore the factor 8.

Subproblem 1

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