x^2+9x+20x=0

Solution for x^2+9x+20x=0 equation:

Simplifying
x2 + 9x + 20x = 0

Reorder the terms:
9x + 20x + x2 = 0

Combine like terms: 9x + 20x = 29x
29x + x2 = 0

Solving
29x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(29 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve:

Simplifying
29 + x = 0

Solving
29 + x = 0

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

Add '-29' to each side of the equation.
29 + -29 + x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + x = 0 + -29
x = 0 + -29

Combine like terms: 0 + -29 = -29
x = -29

Simplifying
x = -29
Solution
x = {0, -29}