0=t(t+3)

Solution for 0=t(t+3) equation:

Simplifying
0 = t(t + 3)

Reorder the terms:
0 = t(3 + t)
0 = (3 * t + t * t)
0 = (3t + t2)

Solving
0 = 3t + t2

Solving for variable 't'.
Remove the zero:
-3t + -1t2 = 3t + t2 + -3t + -1t2

Reorder the terms:
-3t + -1t2 = 3t + -3t + t2 + -1t2

Combine like terms: 3t + -3t = 0
-3t + -1t2 = 0 + t2 + -1t2
-3t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-3t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(3 + t) = 0

Ignore the factor -1.
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 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 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 + t = 0 + -3

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

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

Simplifying
t = -3
Solution
t = {0, -3}