x^2-3x-1=-3x+3

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

Simplifying
x2 + -3x + -1 = -3x + 3

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

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

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

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

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

Solving
-1 + x2 = 3

Solving for variable 'x'.

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

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

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

Combine like terms: 3 + 1 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}