(x+3)(x-1)-2x=0

Solution for (x+3)(x-1)-2x=0 equation:

Simplifying
(x + 3)(x + -1) + -2x = 0

Reorder the terms:
(3 + x)(x + -1) + -2x = 0

Reorder the terms:
(3 + x)(-1 + x) + -2x = 0

Multiply (3 + x) * (-1 + x)
(3(-1 + x) + x(-1 + x)) + -2x = 0
((-1 * 3 + x * 3) + x(-1 + x)) + -2x = 0
((-3 + 3x) + x(-1 + x)) + -2x = 0
(-3 + 3x + (-1 * x + x * x)) + -2x = 0
(-3 + 3x + (-1x + x2)) + -2x = 0

Combine like terms: 3x + -1x = 2x
(-3 + 2x + x2) + -2x = 0

Reorder the terms:
-3 + 2x + -2x + x2 = 0

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

Solving
-3 + x2 = 0

Solving for variable 'x'.

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

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

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

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

Simplifying
x2 = 3

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