L=Lo(1+at)

Solution for L=Lo(1+at) equation:

Simplifying
L = Lo(1 + at)
L = (1 * oL + at * oL)

Reorder the terms:
L = (aotL + 1oL)
L = (aotL + 1oL)

Solving
L = aotL + 1oL

Solving for variable 'L'.

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

Add '-1aotL' to each side of the equation.
L + -1aotL = aotL + -1aotL + 1oL

Combine like terms: aotL + -1aotL = 0
L + -1aotL = 0 + 1oL
L + -1aotL = 1oL

Add '-1oL' to each side of the equation.
L + -1aotL + -1oL = 1oL + -1oL

Combine like terms: 1oL + -1oL = 0
L + -1aotL + -1oL = 0

Factor out the Greatest Common Factor (GCF), 'L'.
L(1 + -1aot + -1o) = 0

Subproblem 1
Set the factor 'L' equal to zero and attempt to solve:

Simplifying
L = 0

Solving
L = 0

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

Simplifying
L = 0
Subproblem 2
Set the factor '(1 + -1aot + -1o)' equal to zero and attempt to solve:

Simplifying
1 + -1aot + -1o = 0

Solving
1 + -1aot + -1o = 0

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

Add '-1' to each side of the equation.
1 + -1aot + -1 + -1o = 0 + -1

Reorder the terms:
1 + -1 + -1aot + -1o = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1aot + -1o = 0 + -1
-1aot + -1o = 0 + -1

Combine like terms: 0 + -1 = -1
-1aot + -1o = -1

Add 'aot' to each side of the equation.
-1aot + aot + -1o = -1 + aot

Combine like terms: -1aot + aot = 0
0 + -1o = -1 + aot
-1o = -1 + aot

Add 'o' to each side of the equation.
-1o + o = -1 + aot + o

Combine like terms: -1o + o = 0
0 = -1 + aot + o

Simplifying
0 = -1 + aot + o

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
L = {0}