(3x^2-x)(3x-x^2)=

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Solution for (3x^2-x)(3x-x^2)= equation: 


Simplifying
(3x2 + -1x)(3x + -1x2) = 0

Reorder the terms:
(-1x + 3x2)(3x + -1x2) = 0

Multiply (-1x + 3x2) * (3x + -1x2)
(-1x * (3x + -1x2) + 3x2 * (3x + -1x2)) = 0
((3x * -1x + -1x2 * -1x) + 3x2 * (3x + -1x2)) = 0
((-3x2 + 1x3) + 3x2 * (3x + -1x2)) = 0
(-3x2 + 1x3 + (3x * 3x2 + -1x2 * 3x2)) = 0
(-3x2 + 1x3 + (9x3 + -3x4)) = 0

Combine like terms: 1x3 + 9x3 = 10x3
(-3x2 + 10x3 + -3x4) = 0

Solving
-3x2 + 10x3 + -3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + 10x + -3x2) = 0

Factor a trinomial.
x2((-3 + x)(1 + -3x)) = 0


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

Simplifying
-3 + x = 0

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

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

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

Simplifying
x = 3

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, 3, 0.3333333333}

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