(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}