x^2-2x+6sqrt(x^2-2x+5)=1

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Solution for x^2-2x+6sqrt(x^2-2x+5)=1 equation: 


Simplifying
x2 + -2x + 6sqrt(x2 + -2x + 5) = 1

Reorder the terms:
x2 + -2x + 6qrst(5 + -2x + x2) = 1
x2 + -2x + (5 * 6qrst + -2x * 6qrst + x2 * 6qrst) = 1
x2 + -2x + (30qrst + -12qrstx + 6qrstx2) = 1

Reorder the terms:
30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 1

Solving
30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 1

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '2x' to each side of the equation.
30qrst + -12qrstx + 6qrstx2 + -2x + 2x + x2 = 1 + 2x

Combine like terms: -2x + 2x = 0
30qrst + -12qrstx + 6qrstx2 + 0 + x2 = 1 + 2x
30qrst + -12qrstx + 6qrstx2 + x2 = 1 + 2x

Add '-1x2' to each side of the equation.
30qrst + -12qrstx + 6qrstx2 + x2 + -1x2 = 1 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
30qrst + -12qrstx + 6qrstx2 + 0 = 1 + 2x + -1x2
30qrst + -12qrstx + 6qrstx2 = 1 + 2x + -1x2

Reorder the terms:
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 1 + 2x + -1x2 + -1 + -2x + x2

Reorder the terms:
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 1 + -1 + 2x + -2x + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 0 + -1x2 + x2
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + 30qrst + -12qrstx + 6qrstx2 + -2x + x2 = 0

The solution to this equation could not be determined.

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