6x^2+37x+63=0

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Solution for 6x^2+37x+63=0 equation:


Simplifying
6x2 + 37x + 63 = 0

Reorder the terms:
63 + 37x + 6x2 = 0

Solving
63 + 37x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
10.5 + 6.166666667x + x2 = 0

Move the constant term to the right:

Add '-10.5' to each side of the equation.
10.5 + 6.166666667x + -10.5 + x2 = 0 + -10.5

Reorder the terms:
10.5 + -10.5 + 6.166666667x + x2 = 0 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 6.166666667x + x2 = 0 + -10.5
6.166666667x + x2 = 0 + -10.5

Combine like terms: 0 + -10.5 = -10.5
6.166666667x + x2 = -10.5

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 = -10.5 + 9.506944449

Reorder the terms:
9.506944449 + 6.166666667x + x2 = -10.5 + 9.506944449

Combine like terms: -10.5 + 9.506944449 = -0.993055551
9.506944449 + 6.166666667x + x2 = -0.993055551

Factor a perfect square on the left side:
(x + 3.083333334)(x + 3.083333334) = -0.993055551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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