(2x-6)(x+3)=0

Solution for (2x-6)(x+3)=0 equation:

Simplifying
(2x + -6)(x + 3) = 0

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

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

Multiply (-6 + 2x) * (3 + x)
(-6(3 + x) + 2x * (3 + x)) = 0
((3 * -6 + x * -6) + 2x * (3 + x)) = 0
((-18 + -6x) + 2x * (3 + x)) = 0
(-18 + -6x + (3 * 2x + x * 2x)) = 0
(-18 + -6x + (6x + 2x2)) = 0

Combine like terms: -6x + 6x = 0
(-18 + 0 + 2x2) = 0
(-18 + 2x2) = 0

Solving
-18 + 2x2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2x2 = 0 + 18
2x2 = 0 + 18

Combine like terms: 0 + 18 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}