2x+3=x^2+2x

Solution for 2x+3=x^2+2x equation:

Simplifying
2x + 3 = x2 + 2x

Reorder the terms:
3 + 2x = x2 + 2x

Reorder the terms:
3 + 2x = 2x + x2

Add '-2x' to each side of the equation.
3 + 2x + -2x = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
3 + 0 = 2x + -2x + x2
3 = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
3 = 0 + x2
3 = x2

Solving
3 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
3 + -1x2 = x2 + -1x2

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

Add '-3' to each side of the equation.
3 + -3 + -1x2 = 0 + -3

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

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

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}