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

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

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

Reorder the terms:
2x(-1 + x) + 2(x + -3) = 0
(-1 * 2x + x * 2x) + 2(x + -3) = 0
(-2x + 2x2) + 2(x + -3) = 0

Reorder the terms:
-2x + 2x2 + 2(-3 + x) = 0
-2x + 2x2 + (-3 * 2 + x * 2) = 0
-2x + 2x2 + (-6 + 2x) = 0

Reorder the terms:
-6 + -2x + 2x + 2x2 = 0

Combine like terms: -2x + 2x = 0
-6 + 0 + 2x2 = 0
-6 + 2x2 = 0

Solving
-6 + 2x2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 0 + 6
2x2 = 0 + 6

Combine like terms: 0 + 6 = 6
2x2 = 6

Divide each side by '2'.
x2 = 3

Simplifying
x2 = 3

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