21x^2-8x+63=0

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Solution for 21x^2-8x+63=0 equation:


Simplifying
21x2 + -8x + 63 = 0

Reorder the terms:
63 + -8x + 21x2 = 0

Solving
63 + -8x + 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'.
3 + -0.380952381x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.380952381x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.380952381x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.380952381x + x2 = 0 + -3
-0.380952381x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.380952381x + x2 = -3

The x term is -0.380952381x.  Take half its coefficient (-0.1904761905).
Square it (0.03628117915) and add it to both sides.

Add '0.03628117915' to each side of the equation.
-0.380952381x + 0.03628117915 + x2 = -3 + 0.03628117915

Reorder the terms:
0.03628117915 + -0.380952381x + x2 = -3 + 0.03628117915

Combine like terms: -3 + 0.03628117915 = -2.96371882085
0.03628117915 + -0.380952381x + x2 = -2.96371882085

Factor a perfect square on the left side:
(x + -0.1904761905)(x + -0.1904761905) = -2.96371882085

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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