K(2k^2+18k+28)=0

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Solution for K(2k^2+18k+28)=0 equation: 


Simplifying
K(2k2 + 18k + 28) = 0

Reorder the terms:
K(28 + 18k + 2k2) = 0
(28 * K + 18k * K + 2k2 * K) = 0
(28K + 18kK + 2k2K) = 0

Solving
28K + 18kK + 2k2K = 0

Solving for variable 'K'.

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

Factor out the Greatest Common Factor (GCF), '2K'.
2K(14 + 9k + k2) = 0

Factor a trinomial.
2K((7 + k)(2 + k)) = 0

Ignore the factor 2.

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 '(7 + k)' equal to zero and attempt to solve:

Simplifying
7 + k = 0

Solving
7 + k = 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 + k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + k = 0 + -7
k = 0 + -7

Combine like terms: 0 + -7 = -7
k = -7

Add '-1k' to each side of the equation.
k + -1k = -7 + -1k

Combine like terms: k + -1k = 0
0 = -7 + -1k

Simplifying
0 = -7 + -1k

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

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

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Add '-1k' to each side of the equation.
k + -1k = -2 + -1k

Combine like terms: k + -1k = 0
0 = -2 + -1k

Simplifying
0 = -2 + -1k

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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