x^2(9x+13)(11x+2)=0

Solution for x^2(9x+13)(11x+2)=0 equation:

Simplifying
x2(9x + 13)(11x + 2) = 0

Reorder the terms:
x2(13 + 9x)(11x + 2) = 0

Reorder the terms:
x2(13 + 9x)(2 + 11x) = 0

Multiply (13 + 9x) * (2 + 11x)
x2(13(2 + 11x) + 9x * (2 + 11x)) = 0
x2((2 * 13 + 11x * 13) + 9x * (2 + 11x)) = 0
x2((26 + 143x) + 9x * (2 + 11x)) = 0
x2(26 + 143x + (2 * 9x + 11x * 9x)) = 0
x2(26 + 143x + (18x + 99x2)) = 0

Combine like terms: 143x + 18x = 161x
x2(26 + 161x + 99x2) = 0
(26 * x2 + 161x * x2 + 99x2 * x2) = 0
(26x2 + 161x3 + 99x4) = 0

Solving
26x2 + 161x3 + 99x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(26 + 161x + 99x2) = 0

Factor a trinomial.
x2((13 + 9x)(2 + 11x)) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(13 + 9x)' equal to zero and attempt to solve:

Simplifying
13 + 9x = 0

Solving
13 + 9x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 9x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 0 + -13
9x = 0 + -13

Combine like terms: 0 + -13 = -13
9x = -13

Divide each side by '9'.
x = -1.444444444

Simplifying
x = -1.444444444
Subproblem 3
Set the factor '(2 + 11x)' equal to zero and attempt to solve:

Simplifying
2 + 11x = 0

Solving
2 + 11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 0 + -2
11x = 0 + -2

Combine like terms: 0 + -2 = -2
11x = -2

Divide each side by '11'.
x = -0.1818181818

Simplifying
x = -0.1818181818
Solution
x = {0, -1.444444444, -0.1818181818}