x(1+x)=x^2-3+8

Solution for x(1+x)=x^2-3+8 equation:

Simplifying
x(1 + x) = x2 + -3 + 8
(1 * x + x * x) = x2 + -3 + 8
(1x + x2) = x2 + -3 + 8

Reorder the terms:
1x + x2 = -3 + 8 + x2

Combine like terms: -3 + 8 = 5
1x + x2 = 5 + x2

Add '-1x2' to each side of the equation.
1x + x2 + -1x2 = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1x + 0 = 5 + x2 + -1x2
1x = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1x = 5 + 0
1x = 5

Solving
1x = 5

Solving for variable 'x'.

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

Divide each side by '1'.
x = 5

Simplifying
x = 5