(6x)x(11x+9)=0

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Solution for (6x)x(11x+9)=0 equation: 


Simplifying
(6x) * x(11x + 9) = 0

Remove parenthesis around (6x)
6x * x(11x + 9) = 0

Reorder the terms:
6x * x(9 + 11x) = 0

Multiply x * x
6x2(9 + 11x) = 0
(9 * 6x2 + 11x * 6x2) = 0
(54x2 + 66x3) = 0

Solving
54x2 + 66x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(9 + 11x) = 0

Ignore the factor 6.

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 '(9 + 11x)' equal to zero and attempt to solve:

Simplifying
9 + 11x = 0

Solving
9 + 11x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 11x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = 0 + -9
11x = 0 + -9

Combine like terms: 0 + -9 = -9
11x = -9

Divide each side by '11'.
x = -0.8181818182

Simplifying
x = -0.8181818182
Solution
x = {0, -0.8181818182}

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