-2x=x^2-2x-3

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

Simplifying
-2x = x2 + -2x + -3

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

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

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

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

Solving
0 = -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.
0 + -1x2 = -3 + x2 + -1x2
Remove the zero:
-1x2 = -3 + x2 + -1x2

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

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

Simplifying
x2 = 3

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