5t^2+37t+72=72

Solution for 5t^2+37t+72=72 equation:

Simplifying
5t2 + 37t + 72 = 72

Reorder the terms:
72 + 37t + 5t2 = 72

Add '-72' to each side of the equation.
72 + 37t + -72 + 5t2 = 72 + -72

Reorder the terms:
72 + -72 + 37t + 5t2 = 72 + -72

Combine like terms: 72 + -72 = 0
0 + 37t + 5t2 = 72 + -72
37t + 5t2 = 72 + -72

Combine like terms: 72 + -72 = 0
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}