(T-6)(3T+5)=

Solution for (T-6)(3T+5)= equation:

Simplifying
(T + -6)(3T + 5) = 0

Reorder the terms:
(-6 + T)(3T + 5) = 0

Reorder the terms:
(-6 + T)(5 + 3T) = 0

Multiply (-6 + T) * (5 + 3T)
(-6(5 + 3T) + T(5 + 3T)) = 0
((5 * -6 + 3T * -6) + T(5 + 3T)) = 0
((-30 + -18T) + T(5 + 3T)) = 0
(-30 + -18T + (5 * T + 3T * T)) = 0
(-30 + -18T + (5T + 3T2)) = 0

Combine like terms: -18T + 5T = -13T
(-30 + -13T + 3T2) = 0

Solving
-30 + -13T + 3T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(-5 + -3T)(6 + -1T) = 0

Subproblem 1
Set the factor '(-5 + -3T)' equal to zero and attempt to solve:

Simplifying
-5 + -3T = 0

Solving
-5 + -3T = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3T = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3T = 0 + 5
-3T = 0 + 5

Combine like terms: 0 + 5 = 5
-3T = 5

Divide each side by '-3'.
T = -1.666666667

Simplifying
T = -1.666666667
Subproblem 2
Set the factor '(6 + -1T)' equal to zero and attempt to solve:

Simplifying
6 + -1T = 0

Solving
6 + -1T = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1T = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1T = 0 + -6
-1T = 0 + -6

Combine like terms: 0 + -6 = -6
-1T = -6

Divide each side by '-1'.
T = 6

Simplifying
T = 6
Solution
T = {-1.666666667, 6}