20x-x^2-150=0

Solution for 20x-x^2-150=0 equation:

Simplifying
20x + -1x2 + -150 = 0

Reorder the terms:
-150 + 20x + -1x2 = 0

Solving
-150 + 20x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
150 + -20x + x2 = 0

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + -20x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + -20x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -20x + x2 = 0 + -150
-20x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
-20x + x2 = -150

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -150 + 100

Reorder the terms:
100 + -20x + x2 = -150 + 100

Combine like terms: -150 + 100 = -50
100 + -20x + x2 = -50

Factor a perfect square on the left side:
(x + -10)(x + -10) = -50

Can't calculate square root of the right side.

The solution to this equation could not be determined.