-63z^2-19z+30=0

Solution for -63z^2-19z+30=0 equation:

Simplifying
-63z2 + -19z + 30 = 0

Reorder the terms:
30 + -19z + -63z2 = 0

Solving
30 + -19z + -63z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(5 + -9z)(6 + 7z) = 0

Subproblem 1
Set the factor '(5 + -9z)' equal to zero and attempt to solve:

Simplifying
5 + -9z = 0

Solving
5 + -9z = 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 + -9z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9z = 0 + -5
-9z = 0 + -5

Combine like terms: 0 + -5 = -5
-9z = -5

Divide each side by '-9'.
z = 0.5555555556

Simplifying
z = 0.5555555556
Subproblem 2
Set the factor '(6 + 7z)' equal to zero and attempt to solve:

Simplifying
6 + 7z = 0

Solving
6 + 7z = 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 + 7z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 0 + -6
7z = 0 + -6

Combine like terms: 0 + -6 = -6
7z = -6

Divide each side by '7'.
z = -0.8571428571

Simplifying
z = -0.8571428571
Solution
z = {0.5555555556, -0.8571428571}