8t(2t+5)=

Solution for 8t(2t+5)= equation:

Simplifying
8t(2t + 5) = 0

Reorder the terms:
8t(5 + 2t) = 0
(5 * 8t + 2t * 8t) = 0
(40t + 16t2) = 0

Solving
40t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t'.
8t(5 + 2t) = 0

Ignore the factor 8.
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 '(5 + 2t)' equal to zero and attempt to solve:

Simplifying
5 + 2t = 0

Solving
5 + 2t = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2t = 0 + -5
2t = 0 + -5

Combine like terms: 0 + -5 = -5
2t = -5

Divide each side by '2'.
t = -2.5

Simplifying
t = -2.5
Solution
t = {0, -2.5}