41=((x-6)(x+6))+4

Solution for 41=((x-6)(x+6))+4 equation:

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

Reorder the terms:
41 = ((-6 + x)(x + 6)) + 4

Reorder the terms:
41 = ((-6 + x)(6 + x)) + 4

Multiply (-6 + x) * (6 + x)
41 = ((-6(6 + x) + x(6 + x))) + 4
41 = (((6 * -6 + x * -6) + x(6 + x))) + 4
41 = (((-36 + -6x) + x(6 + x))) + 4
41 = ((-36 + -6x + (6 * x + x * x))) + 4
41 = ((-36 + -6x + (6x + x2))) + 4

Combine like terms: -6x + 6x = 0
41 = ((-36 + 0 + x2)) + 4
41 = ((-36 + x2)) + 4
41 = (-36 + x2) + 4

Remove parenthesis around (-36 + x2)
41 = -36 + x2 + 4

Reorder the terms:
41 = -36 + 4 + x2

Combine like terms: -36 + 4 = -32
41 = -32 + x2

Solving
41 = -32 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
41 + -1x2 = -32 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
41 + -1x2 = -32 + 0
41 + -1x2 = -32

Add '-41' to each side of the equation.
41 + -41 + -1x2 = -32 + -41

Combine like terms: 41 + -41 = 0
0 + -1x2 = -32 + -41
-1x2 = -32 + -41

Combine like terms: -32 + -41 = -73
-1x2 = -73

Divide each side by '-1'.
x2 = 73

Simplifying
x2 = 73

Take the square root of each side:
x = {-8.544003745, 8.544003745}