x(x+1)=x^2+5

Solution for x(x+1)=x^2+5 equation:

Simplifying
x(x + 1) = x2 + 5

Reorder the terms:
x(1 + x) = x2 + 5
(1 * x + x * x) = x2 + 5
(1x + x2) = x2 + 5

Reorder the terms:
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