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

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


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

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

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

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

Multiply (-3 + x) * (-9 + x2)
x2(-3(-9 + x2) + x(-9 + x2))(4 + x2) = 0
x2((-9 * -3 + x2 * -3) + x(-9 + x2))(4 + x2) = 0
x2((27 + -3x2) + x(-9 + x2))(4 + x2) = 0
x2(27 + -3x2 + (-9 * x + x2 * x))(4 + x2) = 0
x2(27 + -3x2 + (-9x + x3))(4 + x2) = 0

Reorder the terms:
x2(27 + -9x + -3x2 + x3)(4 + x2) = 0
x2(27 + -9x + -3x2 + x3)(4 + x2) = 0

Multiply (27 + -9x + -3x2 + x3) * (4 + x2)
x2(27(4 + x2) + -9x * (4 + x2) + -3x2 * (4 + x2) + x3(4 + x2)) = 0
x2((4 * 27 + x2 * 27) + -9x * (4 + x2) + -3x2 * (4 + x2) + x3(4 + x2)) = 0
x2((108 + 27x2) + -9x * (4 + x2) + -3x2 * (4 + x2) + x3(4 + x2)) = 0
x2(108 + 27x2 + (4 * -9x + x2 * -9x) + -3x2 * (4 + x2) + x3(4 + x2)) = 0
x2(108 + 27x2 + (-36x + -9x3) + -3x2 * (4 + x2) + x3(4 + x2)) = 0
x2(108 + 27x2 + -36x + -9x3 + (4 * -3x2 + x2 * -3x2) + x3(4 + x2)) = 0
x2(108 + 27x2 + -36x + -9x3 + (-12x2 + -3x4) + x3(4 + x2)) = 0
x2(108 + 27x2 + -36x + -9x3 + -12x2 + -3x4 + (4 * x3 + x2 * x3)) = 0
x2(108 + 27x2 + -36x + -9x3 + -12x2 + -3x4 + (4x3 + x5)) = 0

Reorder the terms:
x2(108 + -36x + 27x2 + -12x2 + -9x3 + 4x3 + -3x4 + x5) = 0

Combine like terms: 27x2 + -12x2 = 15x2
x2(108 + -36x + 15x2 + -9x3 + 4x3 + -3x4 + x5) = 0

Combine like terms: -9x3 + 4x3 = -5x3
x2(108 + -36x + 15x2 + -5x3 + -3x4 + x5) = 0
(108 * x2 + -36x * x2 + 15x2 * x2 + -5x3 * x2 + -3x4 * x2 + x5 * x2) = 0
(108x2 + -36x3 + 15x4 + -5x5 + -3x6 + x7) = 0

Solving
108x2 + -36x3 + 15x4 + -5x5 + -3x6 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(108 + -36x + 15x2 + -5x3 + -3x4 + x5) = 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 '(108 + -36x + 15x2 + -5x3 + -3x4 + x5)' equal to zero and attempt to solve:

Simplifying
108 + -36x + 15x2 + -5x3 + -3x4 + x5 = 0

Solving
108 + -36x + 15x2 + -5x3 + -3x4 + x5 = 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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