-6x(x-4)-6=30

Solution for -6x(x-4)-6=30 equation:

Simplifying
-6x(x + -4) + -6 = 30

Reorder the terms:
-6x(-4 + x) + -6 = 30
(-4 * -6x + x * -6x) + -6 = 30
(24x + -6x2) + -6 = 30

Reorder the terms:
-6 + 24x + -6x2 = 30

Solving
-6 + 24x + -6x2 = 30

Solving for variable 'x'.

Reorder the terms:
-6 + -30 + 24x + -6x2 = 30 + -30

Combine like terms: -6 + -30 = -36
-36 + 24x + -6x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-36 + 24x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-6 + 4x + -1x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-6 + 4x + -1x2)' equal to zero and attempt to solve:

Simplifying
-6 + 4x + -1x2 = 0

Solving
-6 + 4x + -1x2 = 0

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

Divide each side by '-1'.
6 + -4x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x + x2 = 0 + -6
-4x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4x + x2 = -6

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -6 + 4

Reorder the terms:
4 + -4x + x2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4x + x2 = -2

Factor a perfect square on the left side:
(x + -2)(x + -2) = -2

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.