4t(t+13)=

Solution for 4t(t+13)= equation:

Simplifying
4t(t + 13) = 0

Reorder the terms:
4t(13 + t) = 0
(13 * 4t + t * 4t) = 0
(52t + 4t2) = 0

Solving
52t + 4t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(13 + t) = 0

Ignore the factor 4.
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 '(13 + t)' equal to zero and attempt to solve:

Simplifying
13 + t = 0

Solving
13 + t = 0

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

Add '-13' to each side of the equation.
13 + -13 + t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + t = 0 + -13
t = 0 + -13

Combine like terms: 0 + -13 = -13
t = -13

Simplifying
t = -13
Solution
t = {0, -13}