81x^2-126x+49=-6

Solution for 81x^2-126x+49=-6 equation:

Simplifying
81x2 + -126x + 49 = -6

Reorder the terms:
49 + -126x + 81x2 = -6

Solving
49 + -126x + 81x2 = -6

Solving for variable 'x'.

Reorder the terms:
49 + 6 + -126x + 81x2 = -6 + 6

Combine like terms: 49 + 6 = 55
55 + -126x + 81x2 = -6 + 6

Combine like terms: -6 + 6 = 0
55 + -126x + 81x2 = 0

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

Divide each side by '81'.
0.6790123457 + -1.555555556x + x2 = 0

Move the constant term to the right:

Add '-0.6790123457' to each side of the equation.
0.6790123457 + -1.555555556x + -0.6790123457 + x2 = 0 + -0.6790123457

Reorder the terms:
0.6790123457 + -0.6790123457 + -1.555555556x + x2 = 0 + -0.6790123457

Combine like terms: 0.6790123457 + -0.6790123457 = 0.0000000000
0.0000000000 + -1.555555556x + x2 = 0 + -0.6790123457
-1.555555556x + x2 = 0 + -0.6790123457

Combine like terms: 0 + -0.6790123457 = -0.6790123457
-1.555555556x + x2 = -0.6790123457

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 = -0.6790123457 + 0.6049382720

Reorder the terms:
0.6049382720 + -1.555555556x + x2 = -0.6790123457 + 0.6049382720

Combine like terms: -0.6790123457 + 0.6049382720 = -0.0740740737
0.6049382720 + -1.555555556x + x2 = -0.0740740737

Factor a perfect square on the left side:
(x + -0.777777778)(x + -0.777777778) = -0.0740740737

Can't calculate square root of the right side.

The solution to this equation could not be determined.