(T-9)(T+64)=0

Solution for (T-9)(T+64)=0 equation:

Simplifying
(T + -9)(T + 64) = 0

Reorder the terms:
(-9 + T)(T + 64) = 0

Reorder the terms:
(-9 + T)(64 + T) = 0

Multiply (-9 + T) * (64 + T)
(-9(64 + T) + T(64 + T)) = 0
((64 * -9 + T * -9) + T(64 + T)) = 0
((-576 + -9T) + T(64 + T)) = 0
(-576 + -9T + (64 * T + T * T)) = 0
(-576 + -9T + (64T + T2)) = 0

Combine like terms: -9T + 64T = 55T
(-576 + 55T + T2) = 0

Solving
-576 + 55T + T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(-64 + -1T)(9 + -1T) = 0

Subproblem 1
Set the factor '(-64 + -1T)' equal to zero and attempt to solve:

Simplifying
-64 + -1T = 0

Solving
-64 + -1T = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1T = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1T = 0 + 64
-1T = 0 + 64

Combine like terms: 0 + 64 = 64
-1T = 64

Divide each side by '-1'.
T = -64

Simplifying
T = -64
Subproblem 2
Set the factor '(9 + -1T)' equal to zero and attempt to solve:

Simplifying
9 + -1T = 0

Solving
9 + -1T = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1T = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1T = 0 + -9
-1T = 0 + -9

Combine like terms: 0 + -9 = -9
-1T = -9

Divide each side by '-1'.
T = 9

Simplifying
T = 9
Solution
T = {-64, 9}