4x^4+7x-x^4=0

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Solution for 4x^4+7x-x^4=0 equation:


Simplifying
4x4 + 7x + -1x4 = 0

Reorder the terms:
7x + 4x4 + -1x4 = 0

Combine like terms: 4x4 + -1x4 = 3x4
7x + 3x4 = 0

Solving
7x + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 3x3) = 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 '(7 + 3x3)' equal to zero and attempt to solve: Simplifying 7 + 3x3 = 0 Solving 7 + 3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x3 = 0 + -7 3x3 = 0 + -7 Combine like terms: 0 + -7 = -7 3x3 = -7 Divide each side by '3'. x3 = -2.333333333 Simplifying x3 = -2.333333333 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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