5x^2+8x+110=0

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Solution for 5x^2+8x+110=0 equation:


Simplifying
5x2 + 8x + 110 = 0

Reorder the terms:
110 + 8x + 5x2 = 0

Solving
110 + 8x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
22 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 1.6x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + 1.6x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1.6x + x2 = 0 + -22
1.6x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
1.6x + x2 = -22

The x term is 1.6x.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6x + 0.64 + x2 = -22 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -22 + 0.64

Combine like terms: -22 + 0.64 = -21.36
0.64 + 1.6x + x2 = -21.36

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -21.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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