14z^2-11z-15=0

Solution for 14z^2-11z-15=0 equation:

Simplifying
14z2 + -11z + -15 = 0

Reorder the terms:
-15 + -11z + 14z2 = 0

Solving
-15 + -11z + 14z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-5 + -7z)(3 + -2z) = 0

Subproblem 1
Set the factor '(-5 + -7z)' equal to zero and attempt to solve:

Simplifying
-5 + -7z = 0

Solving
-5 + -7z = 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 + -7z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7z = 0 + 5
-7z = 0 + 5

Combine like terms: 0 + 5 = 5
-7z = 5

Divide each side by '-7'.
z = -0.7142857143

Simplifying
z = -0.7142857143
Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve:

Simplifying
3 + -2z = 0

Solving
3 + -2z = 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 + -2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = 0 + -3
-2z = 0 + -3

Combine like terms: 0 + -3 = -3
-2z = -3

Divide each side by '-2'.
z = 1.5

Simplifying
z = 1.5
Solution
z = {-0.7142857143, 1.5}