3x^5+(-7x^5)=x

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Solution for 3x^5+(-7x^5)=x equation:


Simplifying
3x5 + (-7x5) = x

Combine like terms: 3x5 + (-7x5) = -4x5
-4x5 = x

Solving
-4x5 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -4x5 = x + -1x

Combine like terms: x + -1x = 0
-1x + -4x5 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 4x4) = 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 '(1 + 4x4)' equal to zero and attempt to solve: Simplifying 1 + 4x4 = 0 Solving 1 + 4x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x4 = 0 + -1 4x4 = 0 + -1 Combine like terms: 0 + -1 = -1 4x4 = -1 Divide each side by '4'. x4 = -0.25 Simplifying x4 = -0.25 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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