-Q^2+16Q+36=0

Solution for -Q^2+16Q+36=0 equation:

Simplifying
-1Q2 + 16Q + 36 = 0

Reorder the terms:
36 + 16Q + -1Q2 = 0

Solving
36 + 16Q + -1Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(18 + -1Q)(2 + Q) = 0

Subproblem 1
Set the factor '(18 + -1Q)' equal to zero and attempt to solve:

Simplifying
18 + -1Q = 0

Solving
18 + -1Q = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1Q = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1Q = 0 + -18
-1Q = 0 + -18

Combine like terms: 0 + -18 = -18
-1Q = -18

Divide each side by '-1'.
Q = 18

Simplifying
Q = 18
Subproblem 2
Set the factor '(2 + Q)' equal to zero and attempt to solve:

Simplifying
2 + Q = 0

Solving
2 + Q = 0

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

Add '-2' to each side of the equation.
2 + -2 + Q = 0 + -2

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

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

Simplifying
Q = -2
Solution
Q = {18, -2}