x(x-9)=x-36

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Solution for x(x-9)=x-36 equation:


Simplifying
x(x + -9) = x + -36

Reorder the terms:
x(-9 + x) = x + -36
(-9 * x + x * x) = x + -36
(-9x + x2) = x + -36

Reorder the terms:
-9x + x2 = -36 + x

Solving
-9x + x2 = -36 + x

Solving for variable 'x'.

Reorder the terms:
36 + -9x + -1x + x2 = -36 + x + 36 + -1x

Combine like terms: -9x + -1x = -10x
36 + -10x + x2 = -36 + x + 36 + -1x

Reorder the terms:
36 + -10x + x2 = -36 + 36 + x + -1x

Combine like terms: -36 + 36 = 0
36 + -10x + x2 = 0 + x + -1x
36 + -10x + x2 = x + -1x

Combine like terms: x + -1x = 0
36 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -10x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -10x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -10x + x2 = 0 + -36
-10x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-10x + x2 = -36

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 = -36 + 25

Reorder the terms:
25 + -10x + x2 = -36 + 25

Combine like terms: -36 + 25 = -11
25 + -10x + x2 = -11

Factor a perfect square on the left side:
(x + -5)(x + -5) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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