P(t)=-3t

Solution for P(t)=-3t equation:

Simplifying
P(t) = -3t

Multiply P * t
tP = -3t

Solving
tP = -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
3t + tP = -3t + 3t

Combine like terms: -3t + 3t = 0
3t + tP = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(3 + P) = 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 '(3 + P)' equal to zero and attempt to solve:

Simplifying
3 + P = 0

Solving
3 + P = 0

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

Add '-3' to each side of the equation.
3 + -3 + P = 0 + -3

Combine like terms: 3 + -3 = 0
0 + P = 0 + -3
P = 0 + -3

Combine like terms: 0 + -3 = -3
P = -3

Add '-1P' to each side of the equation.
P + -1P = -3 + -1P

Combine like terms: P + -1P = 0
0 = -3 + -1P

Simplifying
0 = -3 + -1P

The solution to this equation could not be determined.

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