G(x)=x^5-4x^3

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Solution for G(x)=x^5-4x^3 equation:


Simplifying
G(x) = x5 + -4x3

Multiply G * x
xG = x5 + -4x3

Reorder the terms:
xG = -4x3 + x5

Solving
xG = -4x3 + x5

Solving for variable 'x'.

Reorder the terms:
xG + 4x3 + -1x5 = -4x3 + 4x3 + x5 + -1x5

Combine like terms: -4x3 + 4x3 = 0
xG + 4x3 + -1x5 = 0 + x5 + -1x5
xG + 4x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
xG + 4x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(G + 4x2 + -1x4) = 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 '(G + 4x2 + -1x4)' equal to zero and attempt to solve: Simplifying G + 4x2 + -1x4 = 0 Solving G + 4x2 + -1x4 = 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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