4x^2+x=-8

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Solution for 4x^2+x=-8 equation:


Simplifying
4x2 + x = -8

Reorder the terms:
x + 4x2 = -8

Solving
x + 4x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + x + 4x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + x + 4x2 = 0

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

Divide each side by '4'.
2 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 0.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.25x + x2 = 0 + -2
0.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.25x + x2 = -2

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 = -2 + 0.25

Reorder the terms:
0.25 + 0.25x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.25x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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