9x^2+95x+50=0

Solution for 9x^2+95x+50=0 equation:

Simplifying
9x2 + 95x + 50 = 0

Reorder the terms:
50 + 95x + 9x2 = 0

Solving
50 + 95x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(5 + 9x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve:

Simplifying
5 + 9x = 0

Solving
5 + 9x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 0 + -5
9x = 0 + -5

Combine like terms: 0 + -5 = -5
9x = -5

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556
Solution
x = {-10, -0.5555555556}