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

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

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

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

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

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