35.714=-3x^2+2x

Solution for 35.714=-3x^2+2x equation:

Simplifying
35.714 = -3x2 + 2x

Reorder the terms:
35.714 = 2x + -3x2

Solving
35.714 = 2x + -3x2

Solving for variable 'x'.

Reorder the terms:
35.714 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
35.714 + -2x + 3x2 = 0 + -3x2 + 3x2
35.714 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
35.714 + -2x + 3x2 = 0

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

Divide each side by '3'.
11.90466667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-11.90466667' to each side of the equation.
11.90466667 + -0.6666666667x + -11.90466667 + x2 = 0 + -11.90466667

Reorder the terms:
11.90466667 + -11.90466667 + -0.6666666667x + x2 = 0 + -11.90466667

Combine like terms: 11.90466667 + -11.90466667 = 0.00000000
0.00000000 + -0.6666666667x + x2 = 0 + -11.90466667
-0.6666666667x + x2 = 0 + -11.90466667

Combine like terms: 0 + -11.90466667 = -11.90466667
-0.6666666667x + x2 = -11.90466667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -11.90466667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -11.90466667 + 0.1111111112

Combine like terms: -11.90466667 + 0.1111111112 = -11.7935555588
0.1111111112 + -0.6666666667x + x2 = -11.7935555588

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -11.7935555588

Can't calculate square root of the right side.

The solution to this equation could not be determined.