4x^2+2x+27=0

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Solution for 4x^2+2x+27=0 equation:


Simplifying
4x2 + 2x + 27 = 0

Reorder the terms:
27 + 2x + 4x2 = 0

Solving
27 + 2x + 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'.
6.75 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-6.75' to each side of the equation.
6.75 + 0.5x + -6.75 + x2 = 0 + -6.75

Reorder the terms:
6.75 + -6.75 + 0.5x + x2 = 0 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + 0.5x + x2 = 0 + -6.75
0.5x + x2 = 0 + -6.75

Combine like terms: 0 + -6.75 = -6.75
0.5x + x2 = -6.75

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -6.75 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -6.75 + 0.0625

Combine like terms: -6.75 + 0.0625 = -6.6875
0.0625 + 0.5x + x2 = -6.6875

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -6.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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