2t^2=18t

Solution for 2t^2=18t equation:

Simplifying
2t2 = 18t

Solving
2t2 = 18t

Solving for variable 't'.

Reorder the terms:
-18t + 2t2 = 18t + -18t

Combine like terms: 18t + -18t = 0
-18t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-9 + t) = 0

Ignore the factor 2.
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 '(-9 + t)' equal to zero and attempt to solve:

Simplifying
-9 + t = 0

Solving
-9 + t = 0

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

Add '9' to each side of the equation.
-9 + 9 + t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + t = 0 + 9
t = 0 + 9

Combine like terms: 0 + 9 = 9
t = 9

Simplifying
t = 9
Solution
t = {0, 9}