0=4x^2-x+2

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


Simplifying
0 = 4x2 + -1x + 2

Reorder the terms:
0 = 2 + -1x + 4x2

Solving
0 = 2 + -1x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + x + -4x2 = 2 + -1x + 4x2 + -2 + x + -4x2

Reorder the terms:
-2 + x + -4x2 = 2 + -2 + -1x + x + 4x2 + -4x2

Combine like terms: 2 + -2 = 0
-2 + x + -4x2 = 0 + -1x + x + 4x2 + -4x2
-2 + x + -4x2 = -1x + x + 4x2 + -4x2

Combine like terms: -1x + x = 0
-2 + x + -4x2 = 0 + 4x2 + -4x2
-2 + x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + x + -4x2 = 0

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

Divide each side by '-4'.
0.5 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.25x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.25x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25x + x2 = 0 + -0.5
-0.25x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.25x + x2 = -0.5

The x term is x.  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.
-0.25x + 0.25 + x2 = -0.5 + 0.25

Reorder the terms:
0.25 + -0.25x + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.25x + x2 = -0.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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