3x(x-11)(2x+18)=0

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Solution for 3x(x-11)(2x+18)=0 equation: 


Simplifying
3x(x + -11)(2x + 18) = 0

Reorder the terms:
3x(-11 + x)(2x + 18) = 0

Reorder the terms:
3x(-11 + x)(18 + 2x) = 0

Multiply (-11 + x) * (18 + 2x)
3x(-11(18 + 2x) + x(18 + 2x)) = 0
3x((18 * -11 + 2x * -11) + x(18 + 2x)) = 0
3x((-198 + -22x) + x(18 + 2x)) = 0
3x(-198 + -22x + (18 * x + 2x * x)) = 0
3x(-198 + -22x + (18x + 2x2)) = 0

Combine like terms: -22x + 18x = -4x
3x(-198 + -4x + 2x2) = 0
(-198 * 3x + -4x * 3x + 2x2 * 3x) = 0
(-594x + -12x2 + 6x3) = 0

Solving
-594x + -12x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-99 + -2x + x2) = 0

Factor a trinomial.
6x((-9 + -1x)(11 + -1x)) = 0

Ignore the factor 6.

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 '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 3
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {0, -9, 11}

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