220=-6x^2-37x+65

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Solution for 220=-6x^2-37x+65 equation: 


Simplifying
220 = -6x2 + -37x + 65

Reorder the terms:
220 = 65 + -37x + -6x2

Solving
220 = 65 + -37x + -6x2

Solving for variable 'x'.

Combine like terms: 220 + -65 = 155
155 + 37x + 6x2 = 65 + -37x + -6x2 + -65 + 37x + 6x2

Reorder the terms:
155 + 37x + 6x2 = 65 + -65 + -37x + 37x + -6x2 + 6x2

Combine like terms: 65 + -65 = 0
155 + 37x + 6x2 = 0 + -37x + 37x + -6x2 + 6x2
155 + 37x + 6x2 = -37x + 37x + -6x2 + 6x2

Combine like terms: -37x + 37x = 0
155 + 37x + 6x2 = 0 + -6x2 + 6x2
155 + 37x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
155 + 37x + 6x2 = 0

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

Divide each side by '6'.
25.83333333 + 6.166666667x + x2 = 0

Move the constant term to the right:

Add '-25.83333333' to each side of the equation.
25.83333333 + 6.166666667x + -25.83333333 + x2 = 0 + -25.83333333

Reorder the terms:
25.83333333 + -25.83333333 + 6.166666667x + x2 = 0 + -25.83333333

Combine like terms: 25.83333333 + -25.83333333 = 0.00000000
0.00000000 + 6.166666667x + x2 = 0 + -25.83333333
6.166666667x + x2 = 0 + -25.83333333

Combine like terms: 0 + -25.83333333 = -25.83333333
6.166666667x + x2 = -25.83333333

The x term is 6.166666667x.  Take half its coefficient (3.083333334).
Square it (9.506944449) and add it to both sides.

Add '9.506944449' to each side of the equation.
6.166666667x + 9.506944449 + x2 = -25.83333333 + 9.506944449

Reorder the terms:
9.506944449 + 6.166666667x + x2 = -25.83333333 + 9.506944449

Combine like terms: -25.83333333 + 9.506944449 = -16.326388881
9.506944449 + 6.166666667x + x2 = -16.326388881

Factor a perfect square on the left side:
(x + 3.083333334)(x + 3.083333334) = -16.326388881

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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