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

Solution for (4z-6)(5+2)=0 equation:

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

Reorder the terms:
(-6 + 4z)(5 + 2) = 0

Combine like terms: 5 + 2 = 7
(-6 + 4z)(7) = 0

Reorder the terms for easier multiplication:
7(-6 + 4z) = 0
(-6 * 7 + 4z * 7) = 0
(-42 + 28z) = 0

Solving
-42 + 28z = 0

Solving for variable 'z'.

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

Add '42' to each side of the equation.
-42 + 42 + 28z = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 28z = 0 + 42
28z = 0 + 42

Combine like terms: 0 + 42 = 42
28z = 42

Divide each side by '28'.
z = 1.5

Simplifying
z = 1.5