11(x-3)(3x+2)=0

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Solution for 11(x-3)(3x+2)=0 equation: 


Simplifying
11(x + -3)(3x + 2) = 0

Reorder the terms:
11(-3 + x)(3x + 2) = 0

Reorder the terms:
11(-3 + x)(2 + 3x) = 0

Multiply (-3 + x) * (2 + 3x)
11(-3(2 + 3x) + x(2 + 3x)) = 0
11((2 * -3 + 3x * -3) + x(2 + 3x)) = 0
11((-6 + -9x) + x(2 + 3x)) = 0
11(-6 + -9x + (2 * x + 3x * x)) = 0
11(-6 + -9x + (2x + 3x2)) = 0

Combine like terms: -9x + 2x = -7x
11(-6 + -7x + 3x2) = 0
(-6 * 11 + -7x * 11 + 3x2 * 11) = 0
(-66 + -77x + 33x2) = 0

Solving
-66 + -77x + 33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11'.
11(-6 + -7x + 3x2) = 0

Factor a trinomial.
11((-2 + -3x)(3 + -1x)) = 0

Ignore the factor 11.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.6666666667, 3}

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