89.6=-4.9x^2+27x+6

Solution for 89.6=-4.9x^2+27x+6 equation:

Simplifying
89.6 = -4.9x2 + 27x + 6

Reorder the terms:
89.6 = 6 + 27x + -4.9x2

Solving
89.6 = 6 + 27x + -4.9x2

Solving for variable 'x'.

Combine like terms: 89.6 + -6 = 83.6
83.6 + -27x + 4.9x2 = 6 + 27x + -4.9x2 + -6 + -27x + 4.9x2

Reorder the terms:
83.6 + -27x + 4.9x2 = 6 + -6 + 27x + -27x + -4.9x2 + 4.9x2

Combine like terms: 6 + -6 = 0
83.6 + -27x + 4.9x2 = 0 + 27x + -27x + -4.9x2 + 4.9x2
83.6 + -27x + 4.9x2 = 27x + -27x + -4.9x2 + 4.9x2

Combine like terms: 27x + -27x = 0
83.6 + -27x + 4.9x2 = 0 + -4.9x2 + 4.9x2
83.6 + -27x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
83.6 + -27x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
17.06122449 + -5.510204082x + x2 = 0

Move the constant term to the right:

Add '-17.06122449' to each side of the equation.
17.06122449 + -5.510204082x + -17.06122449 + x2 = 0 + -17.06122449

Reorder the terms:
17.06122449 + -17.06122449 + -5.510204082x + x2 = 0 + -17.06122449

Combine like terms: 17.06122449 + -17.06122449 = 0.00000000
0.00000000 + -5.510204082x + x2 = 0 + -17.06122449
-5.510204082x + x2 = 0 + -17.06122449

Combine like terms: 0 + -17.06122449 = -17.06122449
-5.510204082x + x2 = -17.06122449

The x term is -5.510204082x.  Take half its coefficient (-2.755102041).
Square it (7.590587256) and add it to both sides.

Add '7.590587256' to each side of the equation.
-5.510204082x + 7.590587256 + x2 = -17.06122449 + 7.590587256

Reorder the terms:
7.590587256 + -5.510204082x + x2 = -17.06122449 + 7.590587256

Combine like terms: -17.06122449 + 7.590587256 = -9.470637234
7.590587256 + -5.510204082x + x2 = -9.470637234

Factor a perfect square on the left side:
(x + -2.755102041)(x + -2.755102041) = -9.470637234

Can't calculate square root of the right side.

The solution to this equation could not be determined.