H(x)=3x^5+18x^4-21x^3

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Solution for H(x)=3x^5+18x^4-21x^3 equation: 


Simplifying
H(x) = 3x5 + 18x4 + -21x3

Multiply H * x
xH = 3x5 + 18x4 + -21x3

Reorder the terms:
xH = -21x3 + 18x4 + 3x5

Solving
xH = -21x3 + 18x4 + 3x5

Solving for variable 'x'.

Reorder the terms:
xH + 21x3 + -18x4 + -3x5 = -21x3 + 21x3 + 18x4 + -18x4 + 3x5 + -3x5

Combine like terms: -21x3 + 21x3 = 0
xH + 21x3 + -18x4 + -3x5 = 0 + 18x4 + -18x4 + 3x5 + -3x5
xH + 21x3 + -18x4 + -3x5 = 18x4 + -18x4 + 3x5 + -3x5

Combine like terms: 18x4 + -18x4 = 0
xH + 21x3 + -18x4 + -3x5 = 0 + 3x5 + -3x5
xH + 21x3 + -18x4 + -3x5 = 3x5 + -3x5

Combine like terms: 3x5 + -3x5 = 0
xH + 21x3 + -18x4 + -3x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(H + 21x2 + -18x3 + -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 '(H + 21x2 + -18x3 + -3x4)' equal to zero and attempt to solve:

Simplifying
H + 21x2 + -18x3 + -3x4 = 0

Solving
H + 21x2 + -18x3 + -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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