32=5x-4.9x^2

Solution for 32=5x-4.9x^2 equation:

Simplifying
32 = 5x + -4.9x2

Solving
32 = 5x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
32 + -5x + 4.9x2 = 5x + -5x + -4.9x2 + 4.9x2

Combine like terms: 5x + -5x = 0
32 + -5x + 4.9x2 = 0 + -4.9x2 + 4.9x2
32 + -5x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
32 + -5x + 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'.
6.530612245 + -1.020408163x + x2 = 0

Move the constant term to the right:

Add '-6.530612245' to each side of the equation.
6.530612245 + -1.020408163x + -6.530612245 + x2 = 0 + -6.530612245

Reorder the terms:
6.530612245 + -6.530612245 + -1.020408163x + x2 = 0 + -6.530612245

Combine like terms: 6.530612245 + -6.530612245 = 0.000000000
0.000000000 + -1.020408163x + x2 = 0 + -6.530612245
-1.020408163x + x2 = 0 + -6.530612245

Combine like terms: 0 + -6.530612245 = -6.530612245
-1.020408163x + x2 = -6.530612245

The x term is -1.020408163x.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163x + 0.2603082048 + x2 = -6.530612245 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163x + x2 = -6.530612245 + 0.2603082048

Combine like terms: -6.530612245 + 0.2603082048 = -6.2703040402
0.2603082048 + -1.020408163x + x2 = -6.2703040402

Factor a perfect square on the left side:
(x + -0.5102040815)(x + -0.5102040815) = -6.2703040402

Can't calculate square root of the right side.

The solution to this equation could not be determined.