2x^2(9-x^2)(x^2-6x+9)=0

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


Simplifying
2x2(9 + -1x2)(x2 + -6x + 9) = 0

Reorder the terms:
2x2(9 + -1x2)(9 + -6x + x2) = 0

Multiply (9 + -1x2) * (9 + -6x + x2)
2x2(9(9 + -6x + x2) + -1x2 * (9 + -6x + x2)) = 0
2x2((9 * 9 + -6x * 9 + x2 * 9) + -1x2 * (9 + -6x + x2)) = 0
2x2((81 + -54x + 9x2) + -1x2 * (9 + -6x + x2)) = 0
2x2(81 + -54x + 9x2 + (9 * -1x2 + -6x * -1x2 + x2 * -1x2)) = 0
2x2(81 + -54x + 9x2 + (-9x2 + 6x3 + -1x4)) = 0

Combine like terms: 9x2 + -9x2 = 0
2x2(81 + -54x + 0 + 6x3 + -1x4) = 0
2x2(81 + -54x + 6x3 + -1x4) = 0
(81 * 2x2 + -54x * 2x2 + 6x3 * 2x2 + -1x4 * 2x2) = 0
(162x2 + -108x3 + 12x5 + -2x6) = 0

Solving
162x2 + -108x3 + 12x5 + -2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(81 + -54x + 6x3 + -1x4) = 0

Ignore the factor 2.

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 '(81 + -54x + 6x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
81 + -54x + 6x3 + -1x4 = 0

Solving
81 + -54x + 6x3 + -1x4 = 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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