4x^2-x+56=0

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Solution for 4x^2-x+56=0 equation:


Simplifying
4x2 + -1x + 56 = 0

Reorder the terms:
56 + -1x + 4x2 = 0

Solving
56 + -1x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
14 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -0.25x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -0.25x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -0.25x + x2 = 0 + -14
-0.25x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-0.25x + x2 = -14

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 = -14 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -14 + 0.015625

Combine like terms: -14 + 0.015625 = -13.984375
0.015625 + -0.25x + x2 = -13.984375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -13.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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