3x^2-50x+315=0

Solution for 3x^2-50x+315=0 equation:

Simplifying
3x2 + -50x + 315 = 0

Reorder the terms:
315 + -50x + 3x2 = 0

Solving
315 + -50x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
105 + -16.66666667x + x2 = 0

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + -16.66666667x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + -16.66666667x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -16.66666667x + x2 = 0 + -105
-16.66666667x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-16.66666667x + x2 = -105

The x term is -16.66666667x.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667x + 69.44444447 + x2 = -105 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667x + x2 = -105 + 69.44444447

Combine like terms: -105 + 69.44444447 = -35.55555553
69.44444447 + -16.66666667x + x2 = -35.55555553

Factor a perfect square on the left side:
(x + -8.333333335)(x + -8.333333335) = -35.55555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.