-2T^2+12T+32=0

Solution for -2T^2+12T+32=0 equation:

Simplifying
-2T2 + 12T + 32 = 0

Reorder the terms:
32 + 12T + -2T2 = 0

Solving
32 + 12T + -2T2 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 6T + -1T2) = 0

Factor a trinomial.
2((8 + -1T)(2 + T)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + -1T)' equal to zero and attempt to solve:

Simplifying
8 + -1T = 0

Solving
8 + -1T = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1T = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1T = 0 + -8
-1T = 0 + -8

Combine like terms: 0 + -8 = -8
-1T = -8

Divide each side by '-1'.
T = 8

Simplifying
T = 8
Subproblem 2
Set the factor '(2 + T)' equal to zero and attempt to solve:

Simplifying
2 + T = 0

Solving
2 + T = 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 + T = 0 + -2

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

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

Simplifying
T = -2
Solution
T = {8, -2}