(z+4)(z-2)=

Solution for (z+4)(z-2)= equation:

Simplifying
(z + 4)(z + -2) = 0

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

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

Multiply (4 + z) * (-2 + z)
(4(-2 + z) + z(-2 + z)) = 0
((-2 * 4 + z * 4) + z(-2 + z)) = 0
((-8 + 4z) + z(-2 + z)) = 0
(-8 + 4z + (-2 * z + z * z)) = 0
(-8 + 4z + (-2z + z2)) = 0

Combine like terms: 4z + -2z = 2z
(-8 + 2z + z2) = 0

Solving
-8 + 2z + z2 = 0

Solving for variable 'z'.

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

Subproblem 1
Set the factor '(-4 + -1z)' equal to zero and attempt to solve:

Simplifying
-4 + -1z = 0

Solving
-4 + -1z = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = 0 + 4
-1z = 0 + 4

Combine like terms: 0 + 4 = 4
-1z = 4

Divide each side by '-1'.
z = -4

Simplifying
z = -4
Subproblem 2
Set the factor '(2 + -1z)' equal to zero and attempt to solve:

Simplifying
2 + -1z = 0

Solving
2 + -1z = 0

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

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

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

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

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

Simplifying
z = 2
Solution
z = {-4, 2}