(a+2)(3a-4)=

Solution for (a+2)(3a-4)= equation:

Simplifying
(a + 2)(3a + -4) = 0

Reorder the terms:
(2 + a)(3a + -4) = 0

Reorder the terms:
(2 + a)(-4 + 3a) = 0

Multiply (2 + a) * (-4 + 3a)
(2(-4 + 3a) + a(-4 + 3a)) = 0
((-4 * 2 + 3a * 2) + a(-4 + 3a)) = 0
((-8 + 6a) + a(-4 + 3a)) = 0
(-8 + 6a + (-4 * a + 3a * a)) = 0
(-8 + 6a + (-4a + 3a2)) = 0

Combine like terms: 6a + -4a = 2a
(-8 + 2a + 3a2) = 0

Solving
-8 + 2a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-2 + -1a)(4 + -3a) = 0

Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve:

Simplifying
-2 + -1a = 0

Solving
-2 + -1a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 0 + 2
-1a = 0 + 2

Combine like terms: 0 + 2 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {-2, 1.333333333}