(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}