6x^2-7x+55=-8x

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Solution for 6x^2-7x+55=-8x equation: 


Simplifying
6x2 + -7x + 55 = -8x

Reorder the terms:
55 + -7x + 6x2 = -8x

Solving
55 + -7x + 6x2 = -8x

Solving for variable 'x'.

Reorder the terms:
55 + -7x + 8x + 6x2 = -8x + 8x

Combine like terms: -7x + 8x = 1x
55 + 1x + 6x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
55 + 1x + 6x2 = 0

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

Divide each side by '6'.
9.166666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-9.166666667' to each side of the equation.
9.166666667 + 0.1666666667x + -9.166666667 + x2 = 0 + -9.166666667

Reorder the terms:
9.166666667 + -9.166666667 + 0.1666666667x + x2 = 0 + -9.166666667

Combine like terms: 9.166666667 + -9.166666667 = 0.000000000
0.000000000 + 0.1666666667x + x2 = 0 + -9.166666667
0.1666666667x + x2 = 0 + -9.166666667

Combine like terms: 0 + -9.166666667 = -9.166666667
0.1666666667x + x2 = -9.166666667

The x term is 0.1666666667x.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667x + 0.006944444447 + x2 = -9.166666667 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667x + x2 = -9.166666667 + 0.006944444447

Combine like terms: -9.166666667 + 0.006944444447 = -9.159722222553
0.006944444447 + 0.1666666667x + x2 = -9.159722222553

Factor a perfect square on the left side:
(x + 0.08333333335)(x + 0.08333333335) = -9.159722222553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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