61t-24t^2=0

Solution for 61t-24t^2=0 equation:

Simplifying
61t + -24t2 = 0

Solving
61t + -24t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(61 + -24t) = 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 '(61 + -24t)' equal to zero and attempt to solve:

Simplifying
61 + -24t = 0

Solving
61 + -24t = 0

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

Add '-61' to each side of the equation.
61 + -61 + -24t = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -24t = 0 + -61
-24t = 0 + -61

Combine like terms: 0 + -61 = -61
-24t = -61

Divide each side by '-24'.
t = 2.541666667

Simplifying
t = 2.541666667
Solution
t = {0, 2.541666667}