(q+4)(q-6)=

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

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

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

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

Multiply (4 + q) * (-6 + q)
(4(-6 + q) + q(-6 + q)) = 0
((-6 * 4 + q * 4) + q(-6 + q)) = 0
((-24 + 4q) + q(-6 + q)) = 0
(-24 + 4q + (-6 * q + q * q)) = 0
(-24 + 4q + (-6q + q2)) = 0

Combine like terms: 4q + -6q = -2q
(-24 + -2q + q2) = 0

Solving
-24 + -2q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
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
Subproblem 2
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
Solution
q = {-4, 6}