H(x)=x^3+4x

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Solution for H(x)=x^3+4x equation: 


Simplifying
H(x) = x3 + 4x

Multiply H * x
xH = x3 + 4x

Reorder the terms:
xH = 4x + x3

Solving
xH = 4x + x3

Solving for variable 'x'.

Reorder the terms:
-4x + xH + -1x3 = 4x + x3 + -4x + -1x3

Reorder the terms:
-4x + xH + -1x3 = 4x + -4x + x3 + -1x3

Combine like terms: 4x + -4x = 0
-4x + xH + -1x3 = 0 + x3 + -1x3
-4x + xH + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-4x + xH + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + H + -1x2) = 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 '(-4 + H + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + H + -1x2 = 0

Solving
-4 + H + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + H + 4 + -1x2 = 0 + 4

Reorder the terms:
-4 + 4 + H + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + H + -1x2 = 0 + 4
H + -1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
H + -1x2 = 4

Add '-1H' to each side of the equation.
H + -1H + -1x2 = 4 + -1H

Combine like terms: H + -1H = 0
0 + -1x2 = 4 + -1H
-1x2 = 4 + -1H

Divide each side by '-1'.
x2 = -4 + H

Simplifying
x2 = -4 + H

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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