18t^2-15t=3t

Solution for 18t^2-15t=3t equation:

Simplifying
18t2 + -15t = 3t

Reorder the terms:
-15t + 18t2 = 3t

Solving
-15t + 18t2 = 3t

Solving for variable 't'.

Reorder the terms:
-15t + -3t + 18t2 = 3t + -3t

Combine like terms: -15t + -3t = -18t
-18t + 18t2 = 3t + -3t

Combine like terms: 3t + -3t = 0
-18t + 18t2 = 0

Factor out the Greatest Common Factor (GCF), '18t'.
18t(-1 + t) = 0

Ignore the factor 18.
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}