x(50-x)=1600

Solution for x(50-x)=1600 equation:

Simplifying
x(50 + -1x) = 1600
(50 * x + -1x * x) = 1600
(50x + -1x2) = 1600

Solving
50x + -1x2 = 1600

Solving for variable 'x'.

Reorder the terms:
-1600 + 50x + -1x2 = 1600 + -1600

Combine like terms: 1600 + -1600 = 0
-1600 + 50x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1600 + -50x + x2 = 0

Move the constant term to the right:

Add '-1600' to each side of the equation.
1600 + -50x + -1600 + x2 = 0 + -1600

Reorder the terms:
1600 + -1600 + -50x + x2 = 0 + -1600

Combine like terms: 1600 + -1600 = 0
0 + -50x + x2 = 0 + -1600
-50x + x2 = 0 + -1600

Combine like terms: 0 + -1600 = -1600
-50x + x2 = -1600

The x term is -50x.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50x + 625 + x2 = -1600 + 625

Reorder the terms:
625 + -50x + x2 = -1600 + 625

Combine like terms: -1600 + 625 = -975
625 + -50x + x2 = -975

Factor a perfect square on the left side:
(x + -25)(x + -25) = -975

Can't calculate square root of the right side.

The solution to this equation could not be determined.