21x^2+19x+5=0

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Solution for 21x^2+19x+5=0 equation:


Simplifying
21x2 + 19x + 5 = 0

Reorder the terms:
5 + 19x + 21x2 = 0

Solving
5 + 19x + 21x2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
0.2380952381 + 0.9047619048x + x2 = 0

Move the constant term to the right:

Add '-0.2380952381' to each side of the equation.
0.2380952381 + 0.9047619048x + -0.2380952381 + x2 = 0 + -0.2380952381

Reorder the terms:
0.2380952381 + -0.2380952381 + 0.9047619048x + x2 = 0 + -0.2380952381

Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000
0.0000000000 + 0.9047619048x + x2 = 0 + -0.2380952381
0.9047619048x + x2 = 0 + -0.2380952381

Combine like terms: 0 + -0.2380952381 = -0.2380952381
0.9047619048x + x2 = -0.2380952381

The x term is 0.9047619048x.  Take half its coefficient (0.4523809524).
Square it (0.2046485261) and add it to both sides.

Add '0.2046485261' to each side of the equation.
0.9047619048x + 0.2046485261 + x2 = -0.2380952381 + 0.2046485261

Reorder the terms:
0.2046485261 + 0.9047619048x + x2 = -0.2380952381 + 0.2046485261

Combine like terms: -0.2380952381 + 0.2046485261 = -0.033446712
0.2046485261 + 0.9047619048x + x2 = -0.033446712

Factor a perfect square on the left side:
(x + 0.4523809524)(x + 0.4523809524) = -0.033446712

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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