4-9z-13z^2=0

Solution for 4-9z-13z^2=0 equation:

Simplifying
4 + -9z + -13z2 = 0

Solving
4 + -9z + -13z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(4 + -13z)(1 + z) = 0

Subproblem 1
Set the factor '(4 + -13z)' equal to zero and attempt to solve:

Simplifying
4 + -13z = 0

Solving
4 + -13z = 0

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

Add '-4' to each side of the equation.
4 + -4 + -13z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -13z = 0 + -4
-13z = 0 + -4

Combine like terms: 0 + -4 = -4
-13z = -4

Divide each side by '-13'.
z = 0.3076923077

Simplifying
z = 0.3076923077
Subproblem 2
Set the factor '(1 + z)' equal to zero and attempt to solve:

Simplifying
1 + z = 0

Solving
1 + z = 0

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

Add '-1' to each side of the equation.
1 + -1 + z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + z = 0 + -1
z = 0 + -1

Combine like terms: 0 + -1 = -1
z = -1

Simplifying
z = -1
Solution
z = {0.3076923077, -1}