(6+4z)(2-5z)=

Solution for (6+4z)(2-5z)= equation:

Simplifying
(6 + 4z)(2 + -5z) = 0

Multiply (6 + 4z) * (2 + -5z)
(6(2 + -5z) + 4z * (2 + -5z)) = 0
((2 * 6 + -5z * 6) + 4z * (2 + -5z)) = 0
((12 + -30z) + 4z * (2 + -5z)) = 0
(12 + -30z + (2 * 4z + -5z * 4z)) = 0
(12 + -30z + (8z + -20z2)) = 0

Combine like terms: -30z + 8z = -22z
(12 + -22z + -20z2) = 0

Solving
12 + -22z + -20z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -11z + -10z2) = 0

Factor a trinomial.
2((2 + -5z)(3 + 2z)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -5z)' equal to zero and attempt to solve:

Simplifying
2 + -5z = 0

Solving
2 + -5z = 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 + -5z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = 0 + -2
-5z = 0 + -2

Combine like terms: 0 + -2 = -2
-5z = -2

Divide each side by '-5'.
z = 0.4

Simplifying
z = 0.4
Subproblem 2
Set the factor '(3 + 2z)' equal to zero and attempt to solve:

Simplifying
3 + 2z = 0

Solving
3 + 2z = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2z = 0 + -3
2z = 0 + -3

Combine like terms: 0 + -3 = -3
2z = -3

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5
Solution
z = {0.4, -1.5}