5t(2t)+6t=

Solution for 5t(2t)+6t= equation:

Simplifying
5t(2t) + 6t = 0

Remove parenthesis around (2t)
5t * 2t + 6t = 0

Reorder the terms for easier multiplication:
5 * 2t * t + 6t = 0

Multiply 5 * 2
10t * t + 6t = 0

Multiply t * t
10t2 + 6t = 0

Reorder the terms:
6t + 10t2 = 0

Solving
6t + 10t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(3 + 5t) = 0

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

Simplifying
3 + 5t = 0

Solving
3 + 5t = 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 + 5t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = 0 + -3
5t = 0 + -3

Combine like terms: 0 + -3 = -3
5t = -3

Divide each side by '5'.
t = -0.6

Simplifying
t = -0.6
Solution
t = {0, -0.6}