9x^2+14x+47=7

Solution for 9x^2+14x+47=7 equation:

Simplifying
9x2 + 14x + 47 = 7

Reorder the terms:
47 + 14x + 9x2 = 7

Solving
47 + 14x + 9x2 = 7

Solving for variable 'x'.

Reorder the terms:
47 + -7 + 14x + 9x2 = 7 + -7

Combine like terms: 47 + -7 = 40
40 + 14x + 9x2 = 7 + -7

Combine like terms: 7 + -7 = 0
40 + 14x + 9x2 = 0

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

Divide each side by '9'.
4.444444444 + 1.555555556x + x2 = 0

Move the constant term to the right:

Add '-4.444444444' to each side of the equation.
4.444444444 + 1.555555556x + -4.444444444 + x2 = 0 + -4.444444444

Reorder the terms:
4.444444444 + -4.444444444 + 1.555555556x + x2 = 0 + -4.444444444

Combine like terms: 4.444444444 + -4.444444444 = 0.000000000
0.000000000 + 1.555555556x + x2 = 0 + -4.444444444
1.555555556x + x2 = 0 + -4.444444444

Combine like terms: 0 + -4.444444444 = -4.444444444
1.555555556x + x2 = -4.444444444

The x term is 1.555555556x.  Take half its coefficient (0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
1.555555556x + 0.6049382720 + x2 = -4.444444444 + 0.6049382720

Reorder the terms:
0.6049382720 + 1.555555556x + x2 = -4.444444444 + 0.6049382720

Combine like terms: -4.444444444 + 0.6049382720 = -3.839506172
0.6049382720 + 1.555555556x + x2 = -3.839506172

Factor a perfect square on the left side:
(x + 0.777777778)(x + 0.777777778) = -3.839506172

Can't calculate square root of the right side.

The solution to this equation could not be determined.