x^2+7+1=x

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Solution for x^2+7+1=x equation:


Simplifying
x2 + 7 + 1 = x

Reorder the terms:
7 + 1 + x2 = x

Combine like terms: 7 + 1 = 8
8 + x2 = x

Solving
8 + x2 = x

Solving for variable 'x'.

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

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

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -1x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -1x + x2 = 0 + -8

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

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

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -8 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + -1x + x2 = -7.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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