(-6k+4)(-7k^2+2k-7)=0

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Solution for (-6k+4)(-7k^2+2k-7)=0 equation:


Simplifying
(-6k + 4)(-7k2 + 2k + -7) = 0

Reorder the terms:
(4 + -6k)(-7k2 + 2k + -7) = 0

Reorder the terms:
(4 + -6k)(-7 + 2k + -7k2) = 0

Multiply (4 + -6k) * (-7 + 2k + -7k2)
(4(-7 + 2k + -7k2) + -6k * (-7 + 2k + -7k2)) = 0
((-7 * 4 + 2k * 4 + -7k2 * 4) + -6k * (-7 + 2k + -7k2)) = 0
((-28 + 8k + -28k2) + -6k * (-7 + 2k + -7k2)) = 0
(-28 + 8k + -28k2 + (-7 * -6k + 2k * -6k + -7k2 * -6k)) = 0
(-28 + 8k + -28k2 + (42k + -12k2 + 42k3)) = 0

Reorder the terms:
(-28 + 8k + 42k + -28k2 + -12k2 + 42k3) = 0

Combine like terms: 8k + 42k = 50k
(-28 + 50k + -28k2 + -12k2 + 42k3) = 0

Combine like terms: -28k2 + -12k2 = -40k2
(-28 + 50k + -40k2 + 42k3) = 0

Solving
-28 + 50k + -40k2 + 42k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 25k + -20k2 + 21k3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-14 + 25k + -20k2 + 21k3)' equal to zero and attempt to solve: Simplifying -14 + 25k + -20k2 + 21k3 = 0 Solving -14 + 25k + -20k2 + 21k3 = 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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