4.905x^2+20x+25=0

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Solution for 4.905x^2+20x+25=0 equation:


Simplifying
4.905x2 + 20x + 25 = 0

Reorder the terms:
25 + 20x + 4.905x2 = 0

Solving
25 + 20x + 4.905x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.905'.
5.096839959 + 4.077471967x + x2 = 0

Move the constant term to the right:

Add '-5.096839959' to each side of the equation.
5.096839959 + 4.077471967x + -5.096839959 + x2 = 0 + -5.096839959

Reorder the terms:
5.096839959 + -5.096839959 + 4.077471967x + x2 = 0 + -5.096839959

Combine like terms: 5.096839959 + -5.096839959 = 0.000000000
0.000000000 + 4.077471967x + x2 = 0 + -5.096839959
4.077471967x + x2 = 0 + -5.096839959

Combine like terms: 0 + -5.096839959 = -5.096839959
4.077471967x + x2 = -5.096839959

The x term is 4.077471967x.  Take half its coefficient (2.038735984).
Square it (4.156444412) and add it to both sides.

Add '4.156444412' to each side of the equation.
4.077471967x + 4.156444412 + x2 = -5.096839959 + 4.156444412

Reorder the terms:
4.156444412 + 4.077471967x + x2 = -5.096839959 + 4.156444412

Combine like terms: -5.096839959 + 4.156444412 = -0.940395547
4.156444412 + 4.077471967x + x2 = -0.940395547

Factor a perfect square on the left side:
(x + 2.038735984)(x + 2.038735984) = -0.940395547

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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