T^2-15T+3T-45=0

Solution for T^2-15T+3T-45=0 equation:

Simplifying
T2 + -15T + 3T + -45 = 0

Reorder the terms:
-45 + -15T + 3T + T2 = 0

Combine like terms: -15T + 3T = -12T
-45 + -12T + T2 = 0

Solving
-45 + -12T + T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(-3 + -1T)(15 + -1T) = 0

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

Simplifying
-3 + -1T = 0

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

Combine like terms: -3 + 3 = 0
0 + -1T = 0 + 3
-1T = 0 + 3

Combine like terms: 0 + 3 = 3
-1T = 3

Divide each side by '-1'.
T = -3

Simplifying
T = -3
Subproblem 2
Set the factor '(15 + -1T)' equal to zero and attempt to solve:

Simplifying
15 + -1T = 0

Solving
15 + -1T = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1T = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1T = 0 + -15
-1T = 0 + -15

Combine like terms: 0 + -15 = -15
-1T = -15

Divide each side by '-1'.
T = 15

Simplifying
T = 15
Solution
T = {-3, 15}