8z^2+43z+15=

Solution for 8z^2+43z+15= equation:

Simplifying
8z2 + 43z + 15 = 0

Reorder the terms:
15 + 43z + 8z2 = 0

Solving
15 + 43z + 8z2 = 0

Solving for variable 'z'.

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

Subproblem 1
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
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 = {-5, -0.375}