8x^2+17=x

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Solution for 8x^2+17=x equation:


Simplifying
8x2 + 17 = x

Reorder the terms:
17 + 8x2 = x

Solving
17 + 8x2 = x

Solving for variable 'x'.

Reorder the terms:
17 + -1x + 8x2 = x + -1x

Combine like terms: x + -1x = 0
17 + -1x + 8x2 = 0

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

Divide each side by '8'.
2.125 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-2.125' to each side of the equation.
2.125 + -0.125x + -2.125 + x2 = 0 + -2.125

Reorder the terms:
2.125 + -2.125 + -0.125x + x2 = 0 + -2.125

Combine like terms: 2.125 + -2.125 = 0.000
0.000 + -0.125x + x2 = 0 + -2.125
-0.125x + x2 = 0 + -2.125

Combine like terms: 0 + -2.125 = -2.125
-0.125x + x2 = -2.125

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -2.125 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -2.125 + 0.00390625

Combine like terms: -2.125 + 0.00390625 = -2.12109375
0.00390625 + -0.125x + x2 = -2.12109375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -2.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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