6k*k*k*k-k*k-35=0

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Solution for 6k*k*k*k-k*k-35=0 equation: 


Simplifying
6k * k * k * k + -1k * k + -35 = 0

Multiply k * k
6k2 * k * k + -1k * k + -35 = 0

Multiply k2 * k
6k3 * k + -1k * k + -35 = 0

Multiply k3 * k
6k4 + -1k * k + -35 = 0

Multiply k * k
6k4 + -1k2 + -35 = 0

Reorder the terms:
-35 + -1k2 + 6k4 = 0

Solving
-35 + -1k2 + 6k4 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -3k2)(5 + -2k2) = 0


Subproblem 1
Set the factor '(-7 + -3k2)' equal to zero and attempt to solve:

Simplifying
-7 + -3k2 = 0

Solving
-7 + -3k2 = 0

Move all terms containing k to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -3k2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3k2 = 0 + 7
-3k2 = 0 + 7

Combine like terms: 0 + 7 = 7
-3k2 = 7

Divide each side by '-3'.
k2 = -2.333333333

Simplifying
k2 = -2.333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + -2k2)' equal to zero and attempt to solve:

Simplifying
5 + -2k2 = 0

Solving
5 + -2k2 = 0

Move all terms containing k to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2k2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2k2 = 0 + -5
-2k2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2k2 = -5

Divide each side by '-2'.
k2 = 2.5

Simplifying
k2 = 2.5

Take the square root of each side:
k = {-1.58113883, 1.58113883}
Solution
k = {-1.58113883, 1.58113883}

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