20t^2-15t=5t

Solution for 20t^2-15t=5t equation:

Simplifying
20t2 + -15t = 5t

Reorder the terms:
-15t + 20t2 = 5t

Solving
-15t + 20t2 = 5t

Solving for variable 't'.

Reorder the terms:
-15t + -5t + 20t2 = 5t + -5t

Combine like terms: -15t + -5t = -20t
-20t + 20t2 = 5t + -5t

Combine like terms: 5t + -5t = 0
-20t + 20t2 = 0

Factor out the Greatest Common Factor (GCF), '20t'.
20t(-1 + t) = 0

Ignore the factor 20.
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 '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

Solving
-1 + t = 0

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

Add '1' to each side of the equation.
-1 + 1 + t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + t = 0 + 1
t = 0 + 1

Combine like terms: 0 + 1 = 1
t = 1

Simplifying
t = 1
Solution
t = {0, 1}