x(x-9)=x-32

Solution for x(x-9)=x-32 equation:

Simplifying
x(x + -9) = x + -32

Reorder the terms:
x(-9 + x) = x + -32
(-9 * x + x * x) = x + -32
(-9x + x2) = x + -32

Reorder the terms:
-9x + x2 = -32 + x

Solving
-9x + x2 = -32 + x

Solving for variable 'x'.

Reorder the terms:
32 + -9x + -1x + x2 = -32 + x + 32 + -1x

Combine like terms: -9x + -1x = -10x
32 + -10x + x2 = -32 + x + 32 + -1x

Reorder the terms:
32 + -10x + x2 = -32 + 32 + x + -1x

Combine like terms: -32 + 32 = 0
32 + -10x + x2 = 0 + x + -1x
32 + -10x + x2 = x + -1x

Combine like terms: x + -1x = 0
32 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -10x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -10x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -10x + x2 = 0 + -32
-10x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-10x + x2 = -32

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -32 + 25

Reorder the terms:
25 + -10x + x2 = -32 + 25

Combine like terms: -32 + 25 = -7
25 + -10x + x2 = -7

Factor a perfect square on the left side:
(x + -5)(x + -5) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.