(x^2+2x-7)(x^3+4x^2-21x)=0

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Solution for (x^2+2x-7)(x^3+4x^2-21x)=0 equation: 


Simplifying
(x2 + 2x + -7)(x3 + 4x2 + -21x) = 0

Reorder the terms:
(-7 + 2x + x2)(x3 + 4x2 + -21x) = 0

Reorder the terms:
(-7 + 2x + x2)(-21x + 4x2 + x3) = 0

Multiply (-7 + 2x + x2) * (-21x + 4x2 + x3)
(-7(-21x + 4x2 + x3) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) = 0
((-21x * -7 + 4x2 * -7 + x3 * -7) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) = 0
((147x + -28x2 + -7x3) + 2x * (-21x + 4x2 + x3) + x2(-21x + 4x2 + x3)) = 0
(147x + -28x2 + -7x3 + (-21x * 2x + 4x2 * 2x + x3 * 2x) + x2(-21x + 4x2 + x3)) = 0
(147x + -28x2 + -7x3 + (-42x2 + 8x3 + 2x4) + x2(-21x + 4x2 + x3)) = 0
(147x + -28x2 + -7x3 + -42x2 + 8x3 + 2x4 + (-21x * x2 + 4x2 * x2 + x3 * x2)) = 0
(147x + -28x2 + -7x3 + -42x2 + 8x3 + 2x4 + (-21x3 + 4x4 + x5)) = 0

Reorder the terms:
(147x + -28x2 + -42x2 + -7x3 + 8x3 + -21x3 + 2x4 + 4x4 + x5) = 0

Combine like terms: -28x2 + -42x2 = -70x2
(147x + -70x2 + -7x3 + 8x3 + -21x3 + 2x4 + 4x4 + x5) = 0

Combine like terms: -7x3 + 8x3 = 1x3
(147x + -70x2 + 1x3 + -21x3 + 2x4 + 4x4 + x5) = 0

Combine like terms: 1x3 + -21x3 = -20x3
(147x + -70x2 + -20x3 + 2x4 + 4x4 + x5) = 0

Combine like terms: 2x4 + 4x4 = 6x4
(147x + -70x2 + -20x3 + 6x4 + x5) = 0

Solving
147x + -70x2 + -20x3 + 6x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(147 + -70x + -20x2 + 6x3 + x4) = 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 '(147 + -70x + -20x2 + 6x3 + x4)' equal to zero and attempt to solve:

Simplifying
147 + -70x + -20x2 + 6x3 + x4 = 0

Solving
147 + -70x + -20x2 + 6x3 + x4 = 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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