-Q^2+106Q-1653=0

Solution for -Q^2+106Q-1653=0 equation:

Simplifying
-1Q2 + 106Q + -1653 = 0

Reorder the terms:
-1653 + 106Q + -1Q2 = 0

Solving
-1653 + 106Q + -1Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(-87 + Q)(19 + -1Q) = 0

Subproblem 1
Set the factor '(-87 + Q)' equal to zero and attempt to solve:

Simplifying
-87 + Q = 0

Solving
-87 + Q = 0

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

Add '87' to each side of the equation.
-87 + 87 + Q = 0 + 87

Combine like terms: -87 + 87 = 0
0 + Q = 0 + 87
Q = 0 + 87

Combine like terms: 0 + 87 = 87
Q = 87

Simplifying
Q = 87
Subproblem 2
Set the factor '(19 + -1Q)' equal to zero and attempt to solve:

Simplifying
19 + -1Q = 0

Solving
19 + -1Q = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1Q = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1Q = 0 + -19
-1Q = 0 + -19

Combine like terms: 0 + -19 = -19
-1Q = -19

Divide each side by '-1'.
Q = 19

Simplifying
Q = 19
Solution
Q = {87, 19}