2T^2-6T+4=0

Solution for 2T^2-6T+4=0 equation:

Simplifying
2T2 + -6T + 4 = 0

Reorder the terms:
4 + -6T + 2T2 = 0

Solving
4 + -6T + 2T2 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -3T + T2) = 0

Factor a trinomial.
2((1 + -1T)(2 + -1T)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1T)' equal to zero and attempt to solve:

Simplifying
1 + -1T = 0

Solving
1 + -1T = 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 + -1T = 0 + -1

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

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

Divide each side by '-1'.
T = 1

Simplifying
T = 1
Subproblem 2
Set the factor '(2 + -1T)' equal to zero and attempt to solve:

Simplifying
2 + -1T = 0

Solving
2 + -1T = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1T = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1T = 0 + -2
-1T = 0 + -2

Combine like terms: 0 + -2 = -2
-1T = -2

Divide each side by '-1'.
T = 2

Simplifying
T = 2
Solution
T = {1, 2}