(a+3)(2a-6)=

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

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

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

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

Multiply (3 + a) * (-6 + 2a)
(3(-6 + 2a) + a(-6 + 2a)) = 0
((-6 * 3 + 2a * 3) + a(-6 + 2a)) = 0
((-18 + 6a) + a(-6 + 2a)) = 0
(-18 + 6a + (-6 * a + 2a * a)) = 0
(-18 + 6a + (-6a + 2a2)) = 0

Combine like terms: 6a + -6a = 0
(-18 + 0 + 2a2) = 0
(-18 + 2a2) = 0

Solving
-18 + 2a2 = 0

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 2a2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2a2 = 0 + 18
2a2 = 0 + 18

Combine like terms: 0 + 18 = 18
2a2 = 18

Divide each side by '2'.
a2 = 9

Simplifying
a2 = 9

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