2T^3-18T=0

Solution for 2T^3-18T=0 equation:

Simplifying
2T3 + -18T = 0

Reorder the terms:
-18T + 2T3 = 0

Solving
-18T + 2T3 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), '2T'.
2T(-9 + T2) = 0

Factor a difference between two squares.
2T((3 + T)(-3 + 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 '(3 + T)' equal to zero and attempt to solve:

Simplifying
3 + T = 0

Solving
3 + T = 0

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

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

Combine like terms: 3 + -3 = 0
0 + T = 0 + -3
T = 0 + -3

Combine like terms: 0 + -3 = -3
T = -3

Simplifying
T = -3
Subproblem 3
Set the factor '(-3 + T)' equal to zero and attempt to solve:

Simplifying
-3 + T = 0

Solving
-3 + T = 0

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

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

Combine like terms: -3 + 3 = 0
0 + T = 0 + 3
T = 0 + 3

Combine like terms: 0 + 3 = 3
T = 3

Simplifying
T = 3
Solution
T = {0, -3, 3}