-5t^2+37t=0

Solution for -5t^2+37t=0 equation:

Simplifying
-5t2 + 37t = 0

Reorder the terms:
37t + -5t2 = 0

Solving
37t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(37 + -5t) = 0

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 + -5t)' equal to zero and attempt to solve:

Simplifying
37 + -5t = 0

Solving
37 + -5t = 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 + -5t = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -5t = 0 + -37
-5t = 0 + -37

Combine like terms: 0 + -37 = -37
-5t = -37

Divide each side by '-5'.
t = 7.4

Simplifying
t = 7.4
Solution
t = {0, 7.4}