2x^4(3x-7)(4-x^2)=0

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Solution for 2x^4(3x-7)(4-x^2)=0 equation: 


Simplifying
2x4(3x + -7)(4 + -1x2) = 0

Reorder the terms:
2x4(-7 + 3x)(4 + -1x2) = 0

Multiply (-7 + 3x) * (4 + -1x2)
2x4(-7(4 + -1x2) + 3x * (4 + -1x2)) = 0
2x4((4 * -7 + -1x2 * -7) + 3x * (4 + -1x2)) = 0
2x4((-28 + 7x2) + 3x * (4 + -1x2)) = 0
2x4(-28 + 7x2 + (4 * 3x + -1x2 * 3x)) = 0
2x4(-28 + 7x2 + (12x + -3x3)) = 0

Reorder the terms:
2x4(-28 + 12x + 7x2 + -3x3) = 0
2x4(-28 + 12x + 7x2 + -3x3) = 0
(-28 * 2x4 + 12x * 2x4 + 7x2 * 2x4 + -3x3 * 2x4) = 0
(-56x4 + 24x5 + 14x6 + -6x7) = 0

Solving
-56x4 + 24x5 + 14x6 + -6x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x4'.
2x4(-28 + 12x + 7x2 + -3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-28 + 12x + 7x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-28 + 12x + 7x2 + -3x3 = 0

Solving
-28 + 12x + 7x2 + -3x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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