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

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

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

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

Multiply (3 + 2a) * (-3 + 2a)
(3(-3 + 2a) + 2a * (-3 + 2a)) = 0
((-3 * 3 + 2a * 3) + 2a * (-3 + 2a)) = 0
((-9 + 6a) + 2a * (-3 + 2a)) = 0
(-9 + 6a + (-3 * 2a + 2a * 2a)) = 0
(-9 + 6a + (-6a + 4a2)) = 0

Combine like terms: 6a + -6a = 0
(-9 + 0 + 4a2) = 0
(-9 + 4a2) = 0

Solving
-9 + 4a2 = 0

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 4a2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4a2 = 0 + 9
4a2 = 0 + 9

Combine like terms: 0 + 9 = 9
4a2 = 9

Divide each side by '4'.
a2 = 2.25

Simplifying
a2 = 2.25

Take the square root of each side:
a = {-1.5, 1.5}