(5z-6)(3z+10)=

Solution for (5z-6)(3z+10)= equation:

Simplifying
(5z + -6)(3z + 10) = 0

Reorder the terms:
(-6 + 5z)(3z + 10) = 0

Reorder the terms:
(-6 + 5z)(10 + 3z) = 0

Multiply (-6 + 5z) * (10 + 3z)
(-6(10 + 3z) + 5z * (10 + 3z)) = 0
((10 * -6 + 3z * -6) + 5z * (10 + 3z)) = 0
((-60 + -18z) + 5z * (10 + 3z)) = 0
(-60 + -18z + (10 * 5z + 3z * 5z)) = 0
(-60 + -18z + (50z + 15z2)) = 0

Combine like terms: -18z + 50z = 32z
(-60 + 32z + 15z2) = 0

Solving
-60 + 32z + 15z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-10 + -3z)(6 + -5z) = 0

Subproblem 1
Set the factor '(-10 + -3z)' equal to zero and attempt to solve:

Simplifying
-10 + -3z = 0

Solving
-10 + -3z = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3z = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3z = 0 + 10
-3z = 0 + 10

Combine like terms: 0 + 10 = 10
-3z = 10

Divide each side by '-3'.
z = -3.333333333

Simplifying
z = -3.333333333
Subproblem 2
Set the factor '(6 + -5z)' equal to zero and attempt to solve:

Simplifying
6 + -5z = 0

Solving
6 + -5z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = 0 + -6
-5z = 0 + -6

Combine like terms: 0 + -6 = -6
-5z = -6

Divide each side by '-5'.
z = 1.2

Simplifying
z = 1.2
Solution
z = {-3.333333333, 1.2}