7t(t+3)=0

Solution for 7t(t+3)=0 equation:

Simplifying
7t(t + 3) = 0

Reorder the terms:
7t(3 + t) = 0
(3 * 7t + t * 7t) = 0
(21t + 7t2) = 0

Solving
21t + 7t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '7t'.
7t(3 + t) = 0

Ignore the factor 7.
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}