4x^2+11x+20=0

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Solution for 4x^2+11x+20=0 equation:


Simplifying
4x2 + 11x + 20 = 0

Reorder the terms:
20 + 11x + 4x2 = 0

Solving
20 + 11x + 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'.
5 + 2.75x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2.75x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 2.75x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2.75x + x2 = 0 + -5
2.75x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
2.75x + x2 = -5

The x term is 2.75x.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75x + 1.890625 + x2 = -5 + 1.890625

Reorder the terms:
1.890625 + 2.75x + x2 = -5 + 1.890625

Combine like terms: -5 + 1.890625 = -3.109375
1.890625 + 2.75x + x2 = -3.109375

Factor a perfect square on the left side:
(x + 1.375)(x + 1.375) = -3.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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