(4n^2-6n+2)(7n^2+n-3)=0

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Solution for (4n^2-6n+2)(7n^2+n-3)=0 equation: 


Simplifying
(4n2 + -6n + 2)(7n2 + n + -3) = 0

Reorder the terms:
(2 + -6n + 4n2)(7n2 + n + -3) = 0

Reorder the terms:
(2 + -6n + 4n2)(-3 + n + 7n2) = 0

Multiply (2 + -6n + 4n2) * (-3 + n + 7n2)
(2(-3 + n + 7n2) + -6n * (-3 + n + 7n2) + 4n2 * (-3 + n + 7n2)) = 0
((-3 * 2 + n * 2 + 7n2 * 2) + -6n * (-3 + n + 7n2) + 4n2 * (-3 + n + 7n2)) = 0
((-6 + 2n + 14n2) + -6n * (-3 + n + 7n2) + 4n2 * (-3 + n + 7n2)) = 0
(-6 + 2n + 14n2 + (-3 * -6n + n * -6n + 7n2 * -6n) + 4n2 * (-3 + n + 7n2)) = 0
(-6 + 2n + 14n2 + (18n + -6n2 + -42n3) + 4n2 * (-3 + n + 7n2)) = 0
(-6 + 2n + 14n2 + 18n + -6n2 + -42n3 + (-3 * 4n2 + n * 4n2 + 7n2 * 4n2)) = 0
(-6 + 2n + 14n2 + 18n + -6n2 + -42n3 + (-12n2 + 4n3 + 28n4)) = 0

Reorder the terms:
(-6 + 2n + 18n + 14n2 + -6n2 + -12n2 + -42n3 + 4n3 + 28n4) = 0

Combine like terms: 2n + 18n = 20n
(-6 + 20n + 14n2 + -6n2 + -12n2 + -42n3 + 4n3 + 28n4) = 0

Combine like terms: 14n2 + -6n2 = 8n2
(-6 + 20n + 8n2 + -12n2 + -42n3 + 4n3 + 28n4) = 0

Combine like terms: 8n2 + -12n2 = -4n2
(-6 + 20n + -4n2 + -42n3 + 4n3 + 28n4) = 0

Combine like terms: -42n3 + 4n3 = -38n3
(-6 + 20n + -4n2 + -38n3 + 28n4) = 0

Solving
-6 + 20n + -4n2 + -38n3 + 28n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 10n + -2n2 + -19n3 + 14n4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 10n + -2n2 + -19n3 + 14n4)' equal to zero and attempt to solve:

Simplifying
-3 + 10n + -2n2 + -19n3 + 14n4 = 0

Solving
-3 + 10n + -2n2 + -19n3 + 14n4 = 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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