0=9x^2+59x+50

Solution for 0=9x^2+59x+50 equation:

Simplifying
0 = 9x2 + 59x + 50

Reorder the terms:
0 = 50 + 59x + 9x2

Solving
0 = 50 + 59x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -50 = -50
-50 + -59x + -9x2 = 50 + 59x + 9x2 + -50 + -59x + -9x2

Reorder the terms:
-50 + -59x + -9x2 = 50 + -50 + 59x + -59x + 9x2 + -9x2

Combine like terms: 50 + -50 = 0
-50 + -59x + -9x2 = 0 + 59x + -59x + 9x2 + -9x2
-50 + -59x + -9x2 = 59x + -59x + 9x2 + -9x2

Combine like terms: 59x + -59x = 0
-50 + -59x + -9x2 = 0 + 9x2 + -9x2
-50 + -59x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-50 + -59x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(50 + 59x + 9x2) = 0

Factor a trinomial.
-1((50 + 9x)(1 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(50 + 9x)' equal to zero and attempt to solve:

Simplifying
50 + 9x = 0

Solving
50 + 9x = 0

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

Add '-50' to each side of the equation.
50 + -50 + 9x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 9x = 0 + -50
9x = 0 + -50

Combine like terms: 0 + -50 = -50
9x = -50

Divide each side by '9'.
x = -5.555555556

Simplifying
x = -5.555555556
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-5.555555556, -1}