(5z+7)(6+7)=0

Solution for (5z+7)(6+7)=0 equation:

Simplifying
(5z + 7)(6 + 7) = 0

Reorder the terms:
(7 + 5z)(6 + 7) = 0

Combine like terms: 6 + 7 = 13
(7 + 5z)(13) = 0

Reorder the terms for easier multiplication:
13(7 + 5z) = 0
(7 * 13 + 5z * 13) = 0
(91 + 65z) = 0

Solving
91 + 65z = 0

Solving for variable 'z'.

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

Add '-91' to each side of the equation.
91 + -91 + 65z = 0 + -91

Combine like terms: 91 + -91 = 0
0 + 65z = 0 + -91
65z = 0 + -91

Combine like terms: 0 + -91 = -91
65z = -91

Divide each side by '65'.
z = -1.4

Simplifying
z = -1.4