6(q-2)-2(q^2+6q)=

Solution for 6(q-2)-2(q^2+6q)= equation:

Simplifying
6(q + -2) + -2(q2 + 6q) = 0

Reorder the terms:
6(-2 + q) + -2(q2 + 6q) = 0
(-2 * 6 + q * 6) + -2(q2 + 6q) = 0
(-12 + 6q) + -2(q2 + 6q) = 0

Reorder the terms:
-12 + 6q + -2(6q + q2) = 0
-12 + 6q + (6q * -2 + q2 * -2) = 0
-12 + 6q + (-12q + -2q2) = 0

Combine like terms: 6q + -12q = -6q
-12 + -6q + -2q2 = 0

Solving
-12 + -6q + -2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(6 + 3q + q2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(6 + 3q + q2)' equal to zero and attempt to solve:

Simplifying
6 + 3q + q2 = 0

Solving
6 + 3q + q2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3q + -6 + q2 = 0 + -6

Reorder the terms:
6 + -6 + 3q + q2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3q + q2 = 0 + -6
3q + q2 = 0 + -6

Combine like terms: 0 + -6 = -6
3q + q2 = -6

The q term is 3q.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3q + 2.25 + q2 = -6 + 2.25

Reorder the terms:
2.25 + 3q + q2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3q + q2 = -3.75

Factor a perfect square on the left side:
(q + 1.5)(q + 1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.