14x^2-51x+45+5x^2-2x+1=0

Solution for 14x^2-51x+45+5x^2-2x+1=0 equation:

Simplifying
14x2 + -51x + 45 + 5x2 + -2x + 1 = 0

Reorder the terms:
45 + 1 + -51x + -2x + 14x2 + 5x2 = 0

Combine like terms: 45 + 1 = 46
46 + -51x + -2x + 14x2 + 5x2 = 0

Combine like terms: -51x + -2x = -53x
46 + -53x + 14x2 + 5x2 = 0

Combine like terms: 14x2 + 5x2 = 19x2
46 + -53x + 19x2 = 0

Solving
46 + -53x + 19x2 = 0

Solving for variable 'x'.

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

Divide each side by '19'.
2.421052632 + -2.789473684x + x2 = 0

Move the constant term to the right:

Add '-2.421052632' to each side of the equation.
2.421052632 + -2.789473684x + -2.421052632 + x2 = 0 + -2.421052632

Reorder the terms:
2.421052632 + -2.421052632 + -2.789473684x + x2 = 0 + -2.421052632

Combine like terms: 2.421052632 + -2.421052632 = 0.000000000
0.000000000 + -2.789473684x + x2 = 0 + -2.421052632
-2.789473684x + x2 = 0 + -2.421052632

Combine like terms: 0 + -2.421052632 = -2.421052632
-2.789473684x + x2 = -2.421052632

The x term is -2.789473684x.  Take half its coefficient (-1.394736842).
Square it (1.945290858) and add it to both sides.

Add '1.945290858' to each side of the equation.
-2.789473684x + 1.945290858 + x2 = -2.421052632 + 1.945290858

Reorder the terms:
1.945290858 + -2.789473684x + x2 = -2.421052632 + 1.945290858

Combine like terms: -2.421052632 + 1.945290858 = -0.475761774
1.945290858 + -2.789473684x + x2 = -0.475761774

Factor a perfect square on the left side:
(x + -1.394736842)(x + -1.394736842) = -0.475761774

Can't calculate square root of the right side.

The solution to this equation could not be determined.