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

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

Simplifying
(3 + -1l)(4 + 2l) = 0

Multiply (3 + -1l) * (4 + 2l)
(3(4 + 2l) + -1l * (4 + 2l)) = 0
((4 * 3 + 2l * 3) + -1l * (4 + 2l)) = 0
((12 + 6l) + -1l * (4 + 2l)) = 0
(12 + 6l + (4 * -1l + 2l * -1l)) = 0
(12 + 6l + (-4l + -2l2)) = 0

Combine like terms: 6l + -4l = 2l
(12 + 2l + -2l2) = 0

Solving
12 + 2l + -2l2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + l + -1l2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1l)' equal to zero and attempt to solve:

Simplifying
3 + -1l = 0

Solving
3 + -1l = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1l = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1l = 0 + -3
-1l = 0 + -3

Combine like terms: 0 + -3 = -3
-1l = -3

Divide each side by '-1'.
l = 3

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

Simplifying
2 + l = 0

Solving
2 + l = 0

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

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

Combine like terms: 2 + -2 = 0
0 + l = 0 + -2
l = 0 + -2

Combine like terms: 0 + -2 = -2
l = -2

Simplifying
l = -2
Solution
l = {3, -2}