x=x^2-8x+26

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Solution for x=x^2-8x+26 equation:


Simplifying
x = x2 + -8x + 26

Reorder the terms:
x = 26 + -8x + x2

Solving
x = 26 + -8x + x2

Solving for variable 'x'.

Reorder the terms:
-26 + x + 8x + -1x2 = 26 + -8x + x2 + -26 + 8x + -1x2

Combine like terms: x + 8x = 9x
-26 + 9x + -1x2 = 26 + -8x + x2 + -26 + 8x + -1x2

Reorder the terms:
-26 + 9x + -1x2 = 26 + -26 + -8x + 8x + x2 + -1x2

Combine like terms: 26 + -26 = 0
-26 + 9x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-26 + 9x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-26 + 9x + -1x2 = 0 + x2 + -1x2
-26 + 9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-26 + 9x + -1x2 = 0

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

Divide each side by '-1'.
26 + -9x + x2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -9x + -26 + x2 = 0 + -26

Reorder the terms:
26 + -26 + -9x + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -9x + x2 = 0 + -26
-9x + x2 = 0 + -26

Combine like terms: 0 + -26 = -26
-9x + x2 = -26

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -26 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -26 + 20.25

Combine like terms: -26 + 20.25 = -5.75
20.25 + -9x + x2 = -5.75

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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