-2(x-1)(x-1)=36

Solution for -2(x-1)(x-1)=36 equation:

Simplifying
-2(x + -1)(x + -1) = 36

Reorder the terms:
-2(-1 + x)(x + -1) = 36

Reorder the terms:
-2(-1 + x)(-1 + x) = 36

Multiply (-1 + x) * (-1 + x)
-2(-1(-1 + x) + x(-1 + x)) = 36
-2((-1 * -1 + x * -1) + x(-1 + x)) = 36
-2((1 + -1x) + x(-1 + x)) = 36
-2(1 + -1x + (-1 * x + x * x)) = 36
-2(1 + -1x + (-1x + x2)) = 36

Combine like terms: -1x + -1x = -2x
-2(1 + -2x + x2) = 36
(1 * -2 + -2x * -2 + x2 * -2) = 36
(-2 + 4x + -2x2) = 36

Solving
-2 + 4x + -2x2 = 36

Solving for variable 'x'.

Reorder the terms:
-2 + -36 + 4x + -2x2 = 36 + -36

Combine like terms: -2 + -36 = -38
-38 + 4x + -2x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-38 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-19 + 2x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-19 + 2x + -1x2 = 0

Solving
-19 + 2x + -1x2 = 0

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

Divide each side by '-1'.
19 + -2x + x2 = 0

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -2x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + -2x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x + x2 = 0 + -19
-2x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-2x + x2 = -19

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -19 + 1

Reorder the terms:
1 + -2x + x2 = -19 + 1

Combine like terms: -19 + 1 = -18
1 + -2x + x2 = -18

Factor a perfect square on the left side:
(x + -1)(x + -1) = -18

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.