x(1+x)-(x-3)=9

Solution for x(1+x)-(x-3)=9 equation:

Simplifying
x(1 + x) + -1(x + -3) = 9
(1 * x + x * x) + -1(x + -3) = 9
(1x + x2) + -1(x + -3) = 9

Reorder the terms:
1x + x2 + -1(-3 + x) = 9
1x + x2 + (-3 * -1 + x * -1) = 9
1x + x2 + (3 + -1x) = 9

Reorder the terms:
3 + 1x + -1x + x2 = 9

Combine like terms: 1x + -1x = 0
3 + 0 + x2 = 9
3 + x2 = 9

Solving
3 + x2 = 9

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x2 = 9 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 9 + -3
x2 = 9 + -3

Combine like terms: 9 + -3 = 6
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}