((3*x))*((3*x))*((3*x))=((3*x))+((3*x))+((3*x))

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Solution for ((3*x))*((3*x))*((3*x))=((3*x))+((3*x))+((3*x)) equation:


Simplifying
(3x)(3x)(3x) = (3x) + (3x) + (3x)

Remove parenthesis around (3x)
3x(3x)(3x) = (3x) + (3x) + (3x)

Remove parenthesis around (3x)
3x * 3x(3x) = (3x) + (3x) + (3x)

Remove parenthesis around (3x)
3x * 3x * 3x = (3x) + (3x) + (3x)

Reorder the terms for easier multiplication:
3 * 3 * 3x * x * x = (3x) + (3x) + (3x)

Multiply 3 * 3
9 * 3x * x * x = (3x) + (3x) + (3x)

Multiply 9 * 3
27x * x * x = (3x) + (3x) + (3x)

Multiply x * x
27x2 * x = (3x) + (3x) + (3x)

Multiply x2 * x
27x3 = (3x) + (3x) + (3x)

Combine like terms: (3x) + (3x) = 6x
27x3 = 6x + (3x)

Combine like terms: 6x + (3x) = 9x
27x3 = 9x

Solving
27x3 = 9x

Solving for variable 'x'.

Reorder the terms:
-9x + 27x3 = 9x + -9x

Combine like terms: 9x + -9x = 0
-9x + 27x3 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-1 + 3x2) = 0

Ignore the factor 9.

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 '(-1 + 3x2)' equal to zero and attempt to solve:

Simplifying
-1 + 3x2 = 0

Solving
-1 + 3x2 = 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 + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 = 0 + 1
3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3x2 = 1

Divide each side by '3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}
Solution
x = {0, -0.577350269, 0.577350269}

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