.25x^2+4x+26=0

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Solution for .25x^2+4x+26=0 equation:


Simplifying
0.25x2 + 4x + 26 = 0

Reorder the terms:
26 + 4x + 0.25x2 = 0

Solving
26 + 4x + 0.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.25'.
104 + 16x + x2 = 0

Move the constant term to the right:

Add '-104' to each side of the equation.
104 + 16x + -104 + x2 = 0 + -104

Reorder the terms:
104 + -104 + 16x + x2 = 0 + -104

Combine like terms: 104 + -104 = 0
0 + 16x + x2 = 0 + -104
16x + x2 = 0 + -104

Combine like terms: 0 + -104 = -104
16x + x2 = -104

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -104 + 64

Reorder the terms:
64 + 16x + x2 = -104 + 64

Combine like terms: -104 + 64 = -40
64 + 16x + x2 = -40

Factor a perfect square on the left side:
(x + 8)(x + 8) = -40

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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