2x(3x-1)(x+9)=0

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Solution for 2x(3x-1)(x+9)=0 equation: 


Simplifying
2x(3x + -1)(x + 9) = 0

Reorder the terms:
2x(-1 + 3x)(x + 9) = 0

Reorder the terms:
2x(-1 + 3x)(9 + x) = 0

Multiply (-1 + 3x) * (9 + x)
2x(-1(9 + x) + 3x * (9 + x)) = 0
2x((9 * -1 + x * -1) + 3x * (9 + x)) = 0
2x((-9 + -1x) + 3x * (9 + x)) = 0
2x(-9 + -1x + (9 * 3x + x * 3x)) = 0
2x(-9 + -1x + (27x + 3x2)) = 0

Combine like terms: -1x + 27x = 26x
2x(-9 + 26x + 3x2) = 0
(-9 * 2x + 26x * 2x + 3x2 * 2x) = 0
(-18x + 52x2 + 6x3) = 0

Solving
-18x + 52x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 26x + 3x2) = 0

Factor a trinomial.
2x((-9 + -1x)(1 + -3x)) = 0

Ignore the factor 2.

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 '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -9, 0.3333333333}

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