(Q+6)(Q-4)=

Solution for (Q+6)(Q-4)= equation:

Simplifying
(Q + 6)(Q + -4) = 0

Reorder the terms:
(6 + Q)(Q + -4) = 0

Reorder the terms:
(6 + Q)(-4 + Q) = 0

Multiply (6 + Q) * (-4 + Q)
(6(-4 + Q) + Q(-4 + Q)) = 0
((-4 * 6 + Q * 6) + Q(-4 + Q)) = 0
((-24 + 6Q) + Q(-4 + Q)) = 0
(-24 + 6Q + (-4 * Q + Q * Q)) = 0
(-24 + 6Q + (-4Q + Q2)) = 0

Combine like terms: 6Q + -4Q = 2Q
(-24 + 2Q + Q2) = 0

Solving
-24 + 2Q + Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(-6 + -1Q)(4 + -1Q) = 0

Subproblem 1
Set the factor '(-6 + -1Q)' equal to zero and attempt to solve:

Simplifying
-6 + -1Q = 0

Solving
-6 + -1Q = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1Q = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1Q = 0 + 6
-1Q = 0 + 6

Combine like terms: 0 + 6 = 6
-1Q = 6

Divide each side by '-1'.
Q = -6

Simplifying
Q = -6
Subproblem 2
Set the factor '(4 + -1Q)' equal to zero and attempt to solve:

Simplifying
4 + -1Q = 0

Solving
4 + -1Q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1Q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1Q = 0 + -4
-1Q = 0 + -4

Combine like terms: 0 + -4 = -4
-1Q = -4

Divide each side by '-1'.
Q = 4

Simplifying
Q = 4
Solution
Q = {-6, 4}