1000=800(1+r^100)

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Solution for 1000=800(1+r^100) equation: 


Simplifying
1000 = 800(1 + r100)
1000 = (1 * 800 + r100 * 800)
1000 = (800 + 800r100)

Solving
1000 = 800 + 800r100

Solving for variable 'r'.

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

Add '-800r100' to each side of the equation.
1000 + -800r100 = 800 + 800r100 + -800r100

Combine like terms: 800r100 + -800r100 = 0
1000 + -800r100 = 800 + 0
1000 + -800r100 = 800

Add '-1000' to each side of the equation.
1000 + -1000 + -800r100 = 800 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -800r100 = 800 + -1000
-800r100 = 800 + -1000

Combine like terms: 800 + -1000 = -200
-800r100 = -200

Divide each side by '-800'.
r100 = 0.25

Simplifying
r100 = 0.25

Reorder the terms:
-0.25 + r100 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + r100 = 0.00

Factor a difference between two squares.
(0.5 + r50)(-0.5 + r50) = 0.00


Subproblem 1
Set the factor '(0.5 + r50)' equal to zero and attempt to solve:

Simplifying
0.5 + r50 = 0

Solving
0.5 + r50 = 0

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r50 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r50 = 0 + -0.5
r50 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
r50 = -0.5

Simplifying
r50 = -0.5

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 '(-0.5 + r50)' equal to zero and attempt to solve:

Simplifying
-0.5 + r50 = 0

Solving
-0.5 + r50 = 0

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + r50 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + r50 = 0 + 0.5
r50 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
r50 = 0.5

Simplifying
r50 = 0.5

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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