3t^2=40t

Solution for 3t^2=40t equation:

Simplifying
3t2 = 40t

Solving
3t2 = 40t

Solving for variable 't'.

Reorder the terms:
-40t + 3t2 = 40t + -40t

Combine like terms: 40t + -40t = 0
-40t + 3t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-40 + 3t) = 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 '(-40 + 3t)' equal to zero and attempt to solve:

Simplifying
-40 + 3t = 0

Solving
-40 + 3t = 0

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

Add '40' to each side of the equation.
-40 + 40 + 3t = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 3t = 0 + 40
3t = 0 + 40

Combine like terms: 0 + 40 = 40
3t = 40

Divide each side by '3'.
t = 13.33333333

Simplifying
t = 13.33333333
Solution
t = {0, 13.33333333}