Q^2+Q=6

Solution for Q^2+Q=6 equation:

Simplifying
Q2 + Q = 6

Reorder the terms:
Q + Q2 = 6

Solving
Q + Q2 = 6

Solving for variable 'Q'.

Reorder the terms:
-6 + Q + Q2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + Q + Q2 = 0

Factor a trinomial.
(-3 + -1Q)(2 + -1Q) = 0

Subproblem 1
Set the factor '(-3 + -1Q)' equal to zero and attempt to solve:

Simplifying
-3 + -1Q = 0

Solving
-3 + -1Q = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1Q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1Q = 0 + 3
-1Q = 0 + 3

Combine like terms: 0 + 3 = 3
-1Q = 3

Divide each side by '-1'.
Q = -3

Simplifying
Q = -3
Subproblem 2
Set the factor '(2 + -1Q)' equal to zero and attempt to solve:

Simplifying
2 + -1Q = 0

Solving
2 + -1Q = 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 + -1Q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1Q = 0 + -2
-1Q = 0 + -2

Combine like terms: 0 + -2 = -2
-1Q = -2

Divide each side by '-1'.
Q = 2

Simplifying
Q = 2
Solution
Q = {-3, 2}