F(t)=1500(1.074)t

Solution for F(t)=1500(1.074)t equation:

Simplifying
F(t) = 1500(1.074) * t

Multiply F * t
tF = 1500(1.074) * t

Multiply 1500 * 1.074
tF = 1611t

Solving
tF = 1611t

Solving for variable 't'.

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

Add '-1611t' to each side of the equation.
-1611t + tF = 1611t + -1611t

Combine like terms: 1611t + -1611t = 0
-1611t + tF = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-1611 + F) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-1611 + F)' equal to zero and attempt to solve:

Simplifying
-1611 + F = 0

Solving
-1611 + F = 0

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

Add '1611' to each side of the equation.
-1611 + 1611 + F = 0 + 1611

Combine like terms: -1611 + 1611 = 0
0 + F = 0 + 1611
F = 0 + 1611

Combine like terms: 0 + 1611 = 1611
F = 1611

Add '-1F' to each side of the equation.
F + -1F = 1611 + -1F

Combine like terms: F + -1F = 0
0 = 1611 + -1F

Simplifying
0 = 1611 + -1F

The solution to this equation could not be determined.

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