9x^2+56x+80=0

Solution for 9x^2+56x+80=0 equation:

Simplifying
9x2 + 56x + 80 = 0

Reorder the terms:
80 + 56x + 9x2 = 0

Solving
80 + 56x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(20 + 9x) = 0

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(20 + 9x)' equal to zero and attempt to solve:

Simplifying
20 + 9x = 0

Solving
20 + 9x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 0 + -20
9x = 0 + -20

Combine like terms: 0 + -20 = -20
9x = -20

Divide each side by '9'.
x = -2.222222222

Simplifying
x = -2.222222222
Solution
x = {-4, -2.222222222}