2x-1=8x^2

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Solution for 2x-1=8x^2 equation:


Simplifying
2x + -1 = 8x2

Reorder the terms:
-1 + 2x = 8x2

Solving
-1 + 2x = 8x2

Solving for variable 'x'.

Combine like terms: 8x2 + -8x2 = 0
-1 + 2x + -8x2 = 0

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

Divide each side by '-8'.
0.125 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.25x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.25x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.25x + x2 = 0 + -0.125
-0.25x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
-0.25x + x2 = -0.125

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.125 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.125 + 0.015625

Combine like terms: -0.125 + 0.015625 = -0.109375
0.015625 + -0.25x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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