4000=10x+10x(x-1)

Solution for 4000=10x+10x(x-1) equation:

Simplifying
4000 = 10x + 10x(x + -1)

Reorder the terms:
4000 = 10x + 10x(-1 + x)
4000 = 10x + (-1 * 10x + x * 10x)
4000 = 10x + (-10x + 10x2)

Combine like terms: 10x + -10x = 0
4000 = 0 + 10x2
4000 = 10x2

Solving
4000 = 10x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x2' to each side of the equation.
4000 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
4000 + -10x2 = 0

Add '-4000' to each side of the equation.
4000 + -4000 + -10x2 = 0 + -4000

Combine like terms: 4000 + -4000 = 0
0 + -10x2 = 0 + -4000
-10x2 = 0 + -4000

Combine like terms: 0 + -4000 = -4000
-10x2 = -4000

Divide each side by '-10'.
x2 = 400

Simplifying
x2 = 400

Take the square root of each side:
x = {-20, 20}