3x(25x^2-4)(x^2-6x+9)=0

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Solution for 3x(25x^2-4)(x^2-6x+9)=0 equation: 


Simplifying
3x(25x2 + -4)(x2 + -6x + 9) = 0

Reorder the terms:
3x(-4 + 25x2)(x2 + -6x + 9) = 0

Reorder the terms:
3x(-4 + 25x2)(9 + -6x + x2) = 0

Multiply (-4 + 25x2) * (9 + -6x + x2)
3x(-4(9 + -6x + x2) + 25x2 * (9 + -6x + x2)) = 0
3x((9 * -4 + -6x * -4 + x2 * -4) + 25x2 * (9 + -6x + x2)) = 0
3x((-36 + 24x + -4x2) + 25x2 * (9 + -6x + x2)) = 0
3x(-36 + 24x + -4x2 + (9 * 25x2 + -6x * 25x2 + x2 * 25x2)) = 0
3x(-36 + 24x + -4x2 + (225x2 + -150x3 + 25x4)) = 0

Combine like terms: -4x2 + 225x2 = 221x2
3x(-36 + 24x + 221x2 + -150x3 + 25x4) = 0
(-36 * 3x + 24x * 3x + 221x2 * 3x + -150x3 * 3x + 25x4 * 3x) = 0
(-108x + 72x2 + 663x3 + -450x4 + 75x5) = 0

Solving
-108x + 72x2 + 663x3 + -450x4 + 75x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-36 + 24x + 221x2 + -150x3 + 25x4) = 0

Ignore the factor 3.

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 '(-36 + 24x + 221x2 + -150x3 + 25x4)' equal to zero and attempt to solve:

Simplifying
-36 + 24x + 221x2 + -150x3 + 25x4 = 0

Solving
-36 + 24x + 221x2 + -150x3 + 25x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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