0=5x^4+2x

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Solution for 0=5x^4+2x equation:


Simplifying
0 = 5x4 + 2x

Reorder the terms:
0 = 2x + 5x4

Solving
0 = 2x + 5x4

Solving for variable 'x'.
Remove the zero:
-2x + -5x4 = 2x + 5x4 + -2x + -5x4

Reorder the terms:
-2x + -5x4 = 2x + -2x + 5x4 + -5x4

Combine like terms: 2x + -2x = 0
-2x + -5x4 = 0 + 5x4 + -5x4
-2x + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
-2x + -5x4 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2 + 5x3) = 0

Ignore the factor -1.

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 '(2 + 5x3)' equal to zero and attempt to solve: Simplifying 2 + 5x3 = 0 Solving 2 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x3 = 0 + -2 5x3 = 0 + -2 Combine like terms: 0 + -2 = -2 5x3 = -2 Divide each side by '5'. x3 = -0.4 Simplifying x3 = -0.4 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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