9x^2+3x+25=11

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Solution for 9x^2+3x+25=11 equation: 


Simplifying
9x2 + 3x + 25 = 11

Reorder the terms:
25 + 3x + 9x2 = 11

Solving
25 + 3x + 9x2 = 11

Solving for variable 'x'.

Reorder the terms:
25 + -11 + 3x + 9x2 = 11 + -11

Combine like terms: 25 + -11 = 14
14 + 3x + 9x2 = 11 + -11

Combine like terms: 11 + -11 = 0
14 + 3x + 9x2 = 0

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

Divide each side by '9'.
1.555555556 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.555555556' to each side of the equation.
1.555555556 + 0.3333333333x + -1.555555556 + x2 = 0 + -1.555555556

Reorder the terms:
1.555555556 + -1.555555556 + 0.3333333333x + x2 = 0 + -1.555555556

Combine like terms: 1.555555556 + -1.555555556 = 0.000000000
0.000000000 + 0.3333333333x + x2 = 0 + -1.555555556
0.3333333333x + x2 = 0 + -1.555555556

Combine like terms: 0 + -1.555555556 = -1.555555556
0.3333333333x + x2 = -1.555555556

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -1.555555556 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -1.555555556 + 0.02777777779

Combine like terms: -1.555555556 + 0.02777777779 = -1.52777777821
0.02777777779 + 0.3333333333x + x2 = -1.52777777821

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -1.52777777821

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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