0=x^2-10x+26

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Solution for 0=x^2-10x+26 equation: 


Simplifying
0 = x2 + -10x + 26

Reorder the terms:
0 = 26 + -10x + x2

Solving
0 = 26 + -10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -26 = -26
-26 + 10x + -1x2 = 26 + -10x + x2 + -26 + 10x + -1x2

Reorder the terms:
-26 + 10x + -1x2 = 26 + -26 + -10x + 10x + x2 + -1x2

Combine like terms: 26 + -26 = 0
-26 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2
-26 + 10x + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-26 + 10x + -1x2 = 0 + x2 + -1x2
-26 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-26 + 10x + -1x2 = 0

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

Divide each side by '-1'.
26 + -10x + x2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -10x + -26 + x2 = 0 + -26

Reorder the terms:
26 + -26 + -10x + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -10x + x2 = 0 + -26
-10x + x2 = 0 + -26

Combine like terms: 0 + -26 = -26
-10x + x2 = -26

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 = -26 + 25

Reorder the terms:
25 + -10x + x2 = -26 + 25

Combine like terms: -26 + 25 = -1
25 + -10x + x2 = -1

Factor a perfect square on the left side:
(x + -5)(x + -5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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