=2q^2-16q+64

Solution for =2q^2-16q+64 equation:

Simplifying
0 = 2q2 + -16q + 64

Reorder the terms:
0 = 64 + -16q + 2q2

Solving
0 = 64 + -16q + 2q2

Solving for variable 'q'.

Combine like terms: 0 + -64 = -64
-64 + 16q + -2q2 = 64 + -16q + 2q2 + -64 + 16q + -2q2

Reorder the terms:
-64 + 16q + -2q2 = 64 + -64 + -16q + 16q + 2q2 + -2q2

Combine like terms: 64 + -64 = 0
-64 + 16q + -2q2 = 0 + -16q + 16q + 2q2 + -2q2
-64 + 16q + -2q2 = -16q + 16q + 2q2 + -2q2

Combine like terms: -16q + 16q = 0
-64 + 16q + -2q2 = 0 + 2q2 + -2q2
-64 + 16q + -2q2 = 2q2 + -2q2

Combine like terms: 2q2 + -2q2 = 0
-64 + 16q + -2q2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 8q + -1q2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-32 + 8q + -1q2)' equal to zero and attempt to solve:

Simplifying
-32 + 8q + -1q2 = 0

Solving
-32 + 8q + -1q2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
32 + -8q + q2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -8q + -32 + q2 = 0 + -32

Reorder the terms:
32 + -32 + -8q + q2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -8q + q2 = 0 + -32
-8q + q2 = 0 + -32

Combine like terms: 0 + -32 = -32
-8q + q2 = -32

The q term is -8q.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8q + 16 + q2 = -32 + 16

Reorder the terms:
16 + -8q + q2 = -32 + 16

Combine like terms: -32 + 16 = -16
16 + -8q + q2 = -16

Factor a perfect square on the left side:
(q + -4)(q + -4) = -16

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.