(4k^4-k)-(4k-6k^4)=0

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Solution for (4k^4-k)-(4k-6k^4)=0 equation:


Simplifying
(4k4 + -1k) + -1(4k + -6k4) = 0

Reorder the terms:
(-1k + 4k4) + -1(4k + -6k4) = 0

Remove parenthesis around (-1k + 4k4)
-1k + 4k4 + -1(4k + -6k4) = 0
-1k + 4k4 + (4k * -1 + -6k4 * -1) = 0
-1k + 4k4 + (-4k + 6k4) = 0

Reorder the terms:
-1k + -4k + 4k4 + 6k4 = 0

Combine like terms: -1k + -4k = -5k
-5k + 4k4 + 6k4 = 0

Combine like terms: 4k4 + 6k4 = 10k4
-5k + 10k4 = 0

Solving
-5k + 10k4 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(-1 + 2k3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0

Subproblem 2

Set the factor '(-1 + 2k3)' equal to zero and attempt to solve: Simplifying -1 + 2k3 = 0 Solving -1 + 2k3 = 0 Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2k3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2k3 = 0 + 1 2k3 = 0 + 1 Combine like terms: 0 + 1 = 1 2k3 = 1 Divide each side by '2'. k3 = 0.5 Simplifying k3 = 0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

k = {0}

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