37x^2+6x+333=80

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Solution for 37x^2+6x+333=80 equation: 


Simplifying
37x2 + 6x + 333 = 80

Reorder the terms:
333 + 6x + 37x2 = 80

Solving
333 + 6x + 37x2 = 80

Solving for variable 'x'.

Reorder the terms:
333 + -80 + 6x + 37x2 = 80 + -80

Combine like terms: 333 + -80 = 253
253 + 6x + 37x2 = 80 + -80

Combine like terms: 80 + -80 = 0
253 + 6x + 37x2 = 0

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

Divide each side by '37'.
6.837837838 + 0.1621621622x + x2 = 0

Move the constant term to the right:

Add '-6.837837838' to each side of the equation.
6.837837838 + 0.1621621622x + -6.837837838 + x2 = 0 + -6.837837838

Reorder the terms:
6.837837838 + -6.837837838 + 0.1621621622x + x2 = 0 + -6.837837838

Combine like terms: 6.837837838 + -6.837837838 = 0.000000000
0.000000000 + 0.1621621622x + x2 = 0 + -6.837837838
0.1621621622x + x2 = 0 + -6.837837838

Combine like terms: 0 + -6.837837838 = -6.837837838
0.1621621622x + x2 = -6.837837838

The x term is 0.1621621622x.  Take half its coefficient (0.0810810811).
Square it (0.006574141712) and add it to both sides.

Add '0.006574141712' to each side of the equation.
0.1621621622x + 0.006574141712 + x2 = -6.837837838 + 0.006574141712

Reorder the terms:
0.006574141712 + 0.1621621622x + x2 = -6.837837838 + 0.006574141712

Combine like terms: -6.837837838 + 0.006574141712 = -6.831263696288
0.006574141712 + 0.1621621622x + x2 = -6.831263696288

Factor a perfect square on the left side:
(x + 0.0810810811)(x + 0.0810810811) = -6.831263696288

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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