(8z-3)(2z+5)=

Solution for (8z-3)(2z+5)= equation:

Simplifying
(8z + -3)(2z + 5) = 0

Reorder the terms:
(-3 + 8z)(2z + 5) = 0

Reorder the terms:
(-3 + 8z)(5 + 2z) = 0

Multiply (-3 + 8z) * (5 + 2z)
(-3(5 + 2z) + 8z * (5 + 2z)) = 0
((5 * -3 + 2z * -3) + 8z * (5 + 2z)) = 0
((-15 + -6z) + 8z * (5 + 2z)) = 0
(-15 + -6z + (5 * 8z + 2z * 8z)) = 0
(-15 + -6z + (40z + 16z2)) = 0

Combine like terms: -6z + 40z = 34z
(-15 + 34z + 16z2) = 0

Solving
-15 + 34z + 16z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-5 + -2z)(3 + -8z) = 0

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

Simplifying
-5 + -2z = 0

Solving
-5 + -2z = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2z = 0 + 5

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

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

Divide each side by '-2'.
z = -2.5

Simplifying
z = -2.5
Subproblem 2
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
Solution
z = {-2.5, 0.375}