2t^2+74t=0

Solution for 2t^2+74t=0 equation:

Simplifying
2t2 + 74t = 0

Reorder the terms:
74t + 2t2 = 0

Solving
74t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(37 + t) = 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 '(37 + t)' equal to zero and attempt to solve:

Simplifying
37 + t = 0

Solving
37 + t = 0

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

Add '-37' to each side of the equation.
37 + -37 + t = 0 + -37

Combine like terms: 37 + -37 = 0
0 + t = 0 + -37
t = 0 + -37

Combine like terms: 0 + -37 = -37
t = -37

Simplifying
t = -37
Solution
t = {0, -37}