64+x^2=x+2

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Solution for 64+x^2=x+2 equation:


Simplifying
64 + x2 = x + 2

Reorder the terms:
64 + x2 = 2 + x

Solving
64 + x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
64 + -2 + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 64 + -2 = 62
62 + -1x + x2 = 2 + x + -2 + -1x

Reorder the terms:
62 + -1x + x2 = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
62 + -1x + x2 = 0 + x + -1x
62 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
62 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-62' to each side of the equation.
62 + -1x + -62 + x2 = 0 + -62

Reorder the terms:
62 + -62 + -1x + x2 = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -1x + x2 = 0 + -62
-1x + x2 = 0 + -62

Combine like terms: 0 + -62 = -62
-1x + x2 = -62

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 = -62 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -62 + 0.25

Combine like terms: -62 + 0.25 = -61.75
0.25 + -1x + x2 = -61.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -61.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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