3x^2-5x+56=0

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Solution for 3x^2-5x+56=0 equation: 


Simplifying
3x2 + -5x + 56 = 0

Reorder the terms:
56 + -5x + 3x2 = 0

Solving
56 + -5x + 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'.
18.66666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-18.66666667' to each side of the equation.
18.66666667 + -1.666666667x + -18.66666667 + x2 = 0 + -18.66666667

Reorder the terms:
18.66666667 + -18.66666667 + -1.666666667x + x2 = 0 + -18.66666667

Combine like terms: 18.66666667 + -18.66666667 = 0.00000000
0.00000000 + -1.666666667x + x2 = 0 + -18.66666667
-1.666666667x + x2 = 0 + -18.66666667

Combine like terms: 0 + -18.66666667 = -18.66666667
-1.666666667x + x2 = -18.66666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -18.66666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -18.66666667 + 0.6944444447

Combine like terms: -18.66666667 + 0.6944444447 = -17.9722222253
0.6944444447 + -1.666666667x + x2 = -17.9722222253

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -17.9722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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