(6-3T)T=9

Solution for (6-3T)T=9 equation:

Simplifying
(6 + -3T) * T = 9

Reorder the terms for easier multiplication:
T(6 + -3T) = 9
(6 * T + -3T * T) = 9
(6T + -3T2) = 9

Solving
6T + -3T2 = 9

Solving for variable 'T'.

Reorder the terms:
-9 + 6T + -3T2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 6T + -3T2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 2T + -1T2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-3 + 2T + -1T2)' equal to zero and attempt to solve:

Simplifying
-3 + 2T + -1T2 = 0

Solving
-3 + 2T + -1T2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2T + T2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2T + -3 + T2 = 0 + -3

Reorder the terms:
3 + -3 + -2T + T2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2T + T2 = 0 + -3
-2T + T2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2T + T2 = -3

The T term is -2T.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2T + 1 + T2 = -3 + 1

Reorder the terms:
1 + -2T + T2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2T + T2 = -2

Factor a perfect square on the left side:
(T + -1)(T + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.