8=2k^2(k-4)

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Solution for 8=2k^2(k-4) equation: 


Simplifying
8 = 2k2(k + -4)

Reorder the terms:
8 = 2k2(-4 + k)
8 = (-4 * 2k2 + k * 2k2)
8 = (-8k2 + 2k3)

Solving
8 = -8k2 + 2k3

Solving for variable 'k'.

Reorder the terms:
8 + 8k2 + -2k3 = -8k2 + 8k2 + 2k3 + -2k3

Combine like terms: -8k2 + 8k2 = 0
8 + 8k2 + -2k3 = 0 + 2k3 + -2k3
8 + 8k2 + -2k3 = 2k3 + -2k3

Combine like terms: 2k3 + -2k3 = 0
8 + 8k2 + -2k3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4k2 + -1k3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 4k2 + -1k3)' equal to zero and attempt to solve:

Simplifying
4 + 4k2 + -1k3 = 0

Solving
4 + 4k2 + -1k3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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