(r-4)(r-4)+33=8

Solution for (r-4)(r-4)+33=8 equation:

Simplifying
(r + -4)(r + -4) + 33 = 8

Reorder the terms:
(-4 + r)(r + -4) + 33 = 8

Reorder the terms:
(-4 + r)(-4 + r) + 33 = 8

Multiply (-4 + r) * (-4 + r)
(-4(-4 + r) + r(-4 + r)) + 33 = 8
((-4 * -4 + r * -4) + r(-4 + r)) + 33 = 8
((16 + -4r) + r(-4 + r)) + 33 = 8
(16 + -4r + (-4 * r + r * r)) + 33 = 8
(16 + -4r + (-4r + r2)) + 33 = 8

Combine like terms: -4r + -4r = -8r
(16 + -8r + r2) + 33 = 8

Reorder the terms:
16 + 33 + -8r + r2 = 8

Combine like terms: 16 + 33 = 49
49 + -8r + r2 = 8

Solving
49 + -8r + r2 = 8

Solving for variable 'r'.

Reorder the terms:
49 + -8 + -8r + r2 = 8 + -8

Combine like terms: 49 + -8 = 41
41 + -8r + r2 = 8 + -8

Combine like terms: 8 + -8 = 0
41 + -8r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-41' to each side of the equation.
41 + -8r + -41 + r2 = 0 + -41

Reorder the terms:
41 + -41 + -8r + r2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -8r + r2 = 0 + -41
-8r + r2 = 0 + -41

Combine like terms: 0 + -41 = -41
-8r + r2 = -41

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

Add '16' to each side of the equation.
-8r + 16 + r2 = -41 + 16

Reorder the terms:
16 + -8r + r2 = -41 + 16

Combine like terms: -41 + 16 = -25
16 + -8r + r2 = -25

Factor a perfect square on the left side:
(r + -4)(r + -4) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.