x^4=3x^3+10x

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Solution for x^4=3x^3+10x equation:


Simplifying
x4 = 3x3 + 10x

Reorder the terms:
x4 = 10x + 3x3

Solving
x4 = 10x + 3x3

Solving for variable 'x'.

Reorder the terms:
-10x + -3x3 + x4 = 10x + 3x3 + -10x + -3x3

Reorder the terms:
-10x + -3x3 + x4 = 10x + -10x + 3x3 + -3x3

Combine like terms: 10x + -10x = 0
-10x + -3x3 + x4 = 0 + 3x3 + -3x3
-10x + -3x3 + x4 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-10x + -3x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -3x2 + x3) = 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 '(-10 + -3x2 + x3)' equal to zero and attempt to solve: Simplifying -10 + -3x2 + x3 = 0 Solving -10 + -3x2 + x3 = 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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