11z^2+62z=24

Solution for 11z^2+62z=24 equation:

Simplifying
11z2 + 62z = 24

Reorder the terms:
62z + 11z2 = 24

Solving
62z + 11z2 = 24

Solving for variable 'z'.

Reorder the terms:
-24 + 62z + 11z2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 62z + 11z2 = 0

Factor a trinomial.
(-6 + -1z)(4 + -11z) = 0

Subproblem 1
Set the factor '(-6 + -1z)' equal to zero and attempt to solve:

Simplifying
-6 + -1z = 0

Solving
-6 + -1z = 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 + -1z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1z = 0 + 6
-1z = 0 + 6

Combine like terms: 0 + 6 = 6
-1z = 6

Divide each side by '-1'.
z = -6

Simplifying
z = -6
Subproblem 2
Set the factor '(4 + -11z)' equal to zero and attempt to solve:

Simplifying
4 + -11z = 0

Solving
4 + -11z = 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 + -11z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11z = 0 + -4
-11z = 0 + -4

Combine like terms: 0 + -4 = -4
-11z = -4

Divide each side by '-11'.
z = 0.3636363636

Simplifying
z = 0.3636363636
Solution
z = {-6, 0.3636363636}