(x^2+49)(3x^3+4x^2-21x)=0

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Solution for (x^2+49)(3x^3+4x^2-21x)=0 equation: 


Simplifying
(x2 + 49)(3x3 + 4x2 + -21x) = 0

Reorder the terms:
(49 + x2)(3x3 + 4x2 + -21x) = 0

Reorder the terms:
(49 + x2)(-21x + 4x2 + 3x3) = 0

Multiply (49 + x2) * (-21x + 4x2 + 3x3)
(49(-21x + 4x2 + 3x3) + x2(-21x + 4x2 + 3x3)) = 0
((-21x * 49 + 4x2 * 49 + 3x3 * 49) + x2(-21x + 4x2 + 3x3)) = 0
((-1029x + 196x2 + 147x3) + x2(-21x + 4x2 + 3x3)) = 0
(-1029x + 196x2 + 147x3 + (-21x * x2 + 4x2 * x2 + 3x3 * x2)) = 0
(-1029x + 196x2 + 147x3 + (-21x3 + 4x4 + 3x5)) = 0

Combine like terms: 147x3 + -21x3 = 126x3
(-1029x + 196x2 + 126x3 + 4x4 + 3x5) = 0

Solving
-1029x + 196x2 + 126x3 + 4x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1029 + 196x + 126x2 + 4x3 + 3x4) = 0


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 '(-1029 + 196x + 126x2 + 4x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-1029 + 196x + 126x2 + 4x3 + 3x4 = 0

Solving
-1029 + 196x + 126x2 + 4x3 + 3x4 = 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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