x=x^2-30x+4000

Solution for x=x^2-30x+4000 equation:

Simplifying
x = x2 + -30x + 4000

Reorder the terms:
x = 4000 + -30x + x2

Solving
x = 4000 + -30x + x2

Solving for variable 'x'.

Reorder the terms:
-4000 + x + 30x + -1x2 = 4000 + -30x + x2 + -4000 + 30x + -1x2

Combine like terms: x + 30x = 31x
-4000 + 31x + -1x2 = 4000 + -30x + x2 + -4000 + 30x + -1x2

Reorder the terms:
-4000 + 31x + -1x2 = 4000 + -4000 + -30x + 30x + x2 + -1x2

Combine like terms: 4000 + -4000 = 0
-4000 + 31x + -1x2 = 0 + -30x + 30x + x2 + -1x2
-4000 + 31x + -1x2 = -30x + 30x + x2 + -1x2

Combine like terms: -30x + 30x = 0
-4000 + 31x + -1x2 = 0 + x2 + -1x2
-4000 + 31x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4000 + 31x + -1x2 = 0

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

Divide each side by '-1'.
4000 + -31x + x2 = 0

Move the constant term to the right:

Add '-4000' to each side of the equation.
4000 + -31x + -4000 + x2 = 0 + -4000

Reorder the terms:
4000 + -4000 + -31x + x2 = 0 + -4000

Combine like terms: 4000 + -4000 = 0
0 + -31x + x2 = 0 + -4000
-31x + x2 = 0 + -4000

Combine like terms: 0 + -4000 = -4000
-31x + x2 = -4000

The x term is -31x.  Take half its coefficient (-15.5).
Square it (240.25) and add it to both sides.

Add '240.25' to each side of the equation.
-31x + 240.25 + x2 = -4000 + 240.25

Reorder the terms:
240.25 + -31x + x2 = -4000 + 240.25

Combine like terms: -4000 + 240.25 = -3759.75
240.25 + -31x + x2 = -3759.75

Factor a perfect square on the left side:
(x + -15.5)(x + -15.5) = -3759.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.