-4x^2+1x-3=0

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Solution for -4x^2+1x-3=0 equation:


Simplifying
-4x2 + 1x + -3 = 0

Reorder the terms:
-3 + 1x + -4x2 = 0

Solving
-3 + 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'.
0.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25x + x2 = 0 + -0.75
-0.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25x + x2 = -0.75

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 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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