70+19z+z^2=0

Solution for 70+19z+z^2=0 equation:

Simplifying
70 + 19z + z2 = 0

Solving
70 + 19z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(14 + z)(5 + z) = 0

Subproblem 1
Set the factor '(14 + z)' equal to zero and attempt to solve:

Simplifying
14 + z = 0

Solving
14 + z = 0

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

Add '-14' to each side of the equation.
14 + -14 + z = 0 + -14

Combine like terms: 14 + -14 = 0
0 + z = 0 + -14
z = 0 + -14

Combine like terms: 0 + -14 = -14
z = -14

Simplifying
z = -14
Subproblem 2
Set the factor '(5 + z)' equal to zero and attempt to solve:

Simplifying
5 + z = 0

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

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

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

Simplifying
z = -5
Solution
z = {-14, -5}