(12z-11)(8z-3)=

Solution for (12z-11)(8z-3)= equation:

Simplifying
(12z + -11)(8z + -3) = 0

Reorder the terms:
(-11 + 12z)(8z + -3) = 0

Reorder the terms:
(-11 + 12z)(-3 + 8z) = 0

Multiply (-11 + 12z) * (-3 + 8z)
(-11(-3 + 8z) + 12z * (-3 + 8z)) = 0
((-3 * -11 + 8z * -11) + 12z * (-3 + 8z)) = 0
((33 + -88z) + 12z * (-3 + 8z)) = 0
(33 + -88z + (-3 * 12z + 8z * 12z)) = 0
(33 + -88z + (-36z + 96z2)) = 0

Combine like terms: -88z + -36z = -124z
(33 + -124z + 96z2) = 0

Solving
33 + -124z + 96z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + -8z)(11 + -12z) = 0

Subproblem 1
Set the factor '(3 + -8z)' equal to zero and attempt to solve:

Simplifying
3 + -8z = 0

Solving
3 + -8z = 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 + -8z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8z = 0 + -3
-8z = 0 + -3

Combine like terms: 0 + -3 = -3
-8z = -3

Divide each side by '-8'.
z = 0.375

Simplifying
z = 0.375
Subproblem 2
Set the factor '(11 + -12z)' equal to zero and attempt to solve:

Simplifying
11 + -12z = 0

Solving
11 + -12z = 0

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

Add '-11' to each side of the equation.
11 + -11 + -12z = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -12z = 0 + -11
-12z = 0 + -11

Combine like terms: 0 + -11 = -11
-12z = -11

Divide each side by '-12'.
z = 0.9166666667

Simplifying
z = 0.9166666667
Solution
z = {0.375, 0.9166666667}