8k(4k-4)=-5k-32

Solution for 8k(4k-4)=-5k-32 equation:

Simplifying
8k(4k + -4) = -5k + -32

Reorder the terms:
8k(-4 + 4k) = -5k + -32
(-4 * 8k + 4k * 8k) = -5k + -32
(-32k + 32k2) = -5k + -32

Reorder the terms:
-32k + 32k2 = -32 + -5k

Solving
-32k + 32k2 = -32 + -5k

Solving for variable 'k'.

Reorder the terms:
32 + -32k + 5k + 32k2 = -32 + -5k + 32 + 5k

Combine like terms: -32k + 5k = -27k
32 + -27k + 32k2 = -32 + -5k + 32 + 5k

Reorder the terms:
32 + -27k + 32k2 = -32 + 32 + -5k + 5k

Combine like terms: -32 + 32 = 0
32 + -27k + 32k2 = 0 + -5k + 5k
32 + -27k + 32k2 = -5k + 5k

Combine like terms: -5k + 5k = 0
32 + -27k + 32k2 = 0

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

Divide each side by '32'.
1 + -0.84375k + k2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.84375k + -1 + k2 = 0 + -1

Reorder the terms:
1 + -1 + -0.84375k + k2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.84375k + k2 = 0 + -1
-0.84375k + k2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.84375k + k2 = -1

The k term is -0.84375k.  Take half its coefficient (-0.421875).
Square it (0.1779785156) and add it to both sides.

Add '0.1779785156' to each side of the equation.
-0.84375k + 0.1779785156 + k2 = -1 + 0.1779785156

Reorder the terms:
0.1779785156 + -0.84375k + k2 = -1 + 0.1779785156

Combine like terms: -1 + 0.1779785156 = -0.8220214844
0.1779785156 + -0.84375k + k2 = -0.8220214844

Factor a perfect square on the left side:
(k + -0.421875)(k + -0.421875) = -0.8220214844

Can't calculate square root of the right side.

The solution to this equation could not be determined.