x*x(x+1)=x*x*x+2

Solution for x*x(x+1)=x*x*x+2 equation:

Simplifying
x * x(x + 1) = x * x * x + 2

Reorder the terms:
x * x(1 + x) = x * x * x + 2

Multiply x * x
x2(1 + x) = x * x * x + 2
(1 * x2 + x * x2) = x * x * x + 2
(1x2 + x3) = x * x * x + 2

Multiply x * x
1x2 + x3 = x2 * x + 2

Multiply x2 * x
1x2 + x3 = x3 + 2

Reorder the terms:
1x2 + x3 = 2 + x3

Add '-1x3' to each side of the equation.
1x2 + x3 + -1x3 = 2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
1x2 + 0 = 2 + x3 + -1x3
1x2 = 2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
1x2 = 2 + 0
1x2 = 2

Solving
1x2 = 2

Solving for variable 'x'.

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

Divide each side by '1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}