(6n^2-6n-3)(n^2-7n+2)=0

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Solution for (6n^2-6n-3)(n^2-7n+2)=0 equation: 


Simplifying
(6n2 + -6n + -3)(n2 + -7n + 2) = 0

Reorder the terms:
(-3 + -6n + 6n2)(n2 + -7n + 2) = 0

Reorder the terms:
(-3 + -6n + 6n2)(2 + -7n + n2) = 0

Multiply (-3 + -6n + 6n2) * (2 + -7n + n2)
(-3(2 + -7n + n2) + -6n * (2 + -7n + n2) + 6n2 * (2 + -7n + n2)) = 0
((2 * -3 + -7n * -3 + n2 * -3) + -6n * (2 + -7n + n2) + 6n2 * (2 + -7n + n2)) = 0
((-6 + 21n + -3n2) + -6n * (2 + -7n + n2) + 6n2 * (2 + -7n + n2)) = 0
(-6 + 21n + -3n2 + (2 * -6n + -7n * -6n + n2 * -6n) + 6n2 * (2 + -7n + n2)) = 0
(-6 + 21n + -3n2 + (-12n + 42n2 + -6n3) + 6n2 * (2 + -7n + n2)) = 0
(-6 + 21n + -3n2 + -12n + 42n2 + -6n3 + (2 * 6n2 + -7n * 6n2 + n2 * 6n2)) = 0
(-6 + 21n + -3n2 + -12n + 42n2 + -6n3 + (12n2 + -42n3 + 6n4)) = 0

Reorder the terms:
(-6 + 21n + -12n + -3n2 + 42n2 + 12n2 + -6n3 + -42n3 + 6n4) = 0

Combine like terms: 21n + -12n = 9n
(-6 + 9n + -3n2 + 42n2 + 12n2 + -6n3 + -42n3 + 6n4) = 0

Combine like terms: -3n2 + 42n2 = 39n2
(-6 + 9n + 39n2 + 12n2 + -6n3 + -42n3 + 6n4) = 0

Combine like terms: 39n2 + 12n2 = 51n2
(-6 + 9n + 51n2 + -6n3 + -42n3 + 6n4) = 0

Combine like terms: -6n3 + -42n3 = -48n3
(-6 + 9n + 51n2 + -48n3 + 6n4) = 0

Solving
-6 + 9n + 51n2 + -48n3 + 6n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 3n + 17n2 + -16n3 + 2n4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + 3n + 17n2 + -16n3 + 2n4)' equal to zero and attempt to solve:

Simplifying
-2 + 3n + 17n2 + -16n3 + 2n4 = 0

Solving
-2 + 3n + 17n2 + -16n3 + 2n4 = 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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