21x^2-19x+5=-9

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Solution for 21x^2-19x+5=-9 equation: 


Simplifying
21x2 + -19x + 5 = -9

Reorder the terms:
5 + -19x + 21x2 = -9

Solving
5 + -19x + 21x2 = -9

Solving for variable 'x'.

Reorder the terms:
5 + 9 + -19x + 21x2 = -9 + 9

Combine like terms: 5 + 9 = 14
14 + -19x + 21x2 = -9 + 9

Combine like terms: -9 + 9 = 0
14 + -19x + 21x2 = 0

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

Divide each side by '21'.
0.6666666667 + -0.9047619048x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.9047619048x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.9047619048x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.9047619048x + x2 = 0 + -0.6666666667
-0.9047619048x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.9047619048x + x2 = -0.6666666667

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 = -0.6666666667 + 0.2046485261

Reorder the terms:
0.2046485261 + -0.9047619048x + x2 = -0.6666666667 + 0.2046485261

Combine like terms: -0.6666666667 + 0.2046485261 = -0.4620181406
0.2046485261 + -0.9047619048x + x2 = -0.4620181406

Factor a perfect square on the left side:
(x + -0.4523809524)(x + -0.4523809524) = -0.4620181406

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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