(6n^2+6n-3)(6n^2+5n-5)=

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Solution for (6n^2+6n-3)(6n^2+5n-5)= equation: 


Simplifying
(6n2 + 6n + -3)(6n2 + 5n + -5) = 0

Reorder the terms:
(-3 + 6n + 6n2)(6n2 + 5n + -5) = 0

Reorder the terms:
(-3 + 6n + 6n2)(-5 + 5n + 6n2) = 0

Multiply (-3 + 6n + 6n2) * (-5 + 5n + 6n2)
(-3(-5 + 5n + 6n2) + 6n * (-5 + 5n + 6n2) + 6n2 * (-5 + 5n + 6n2)) = 0
((-5 * -3 + 5n * -3 + 6n2 * -3) + 6n * (-5 + 5n + 6n2) + 6n2 * (-5 + 5n + 6n2)) = 0
((15 + -15n + -18n2) + 6n * (-5 + 5n + 6n2) + 6n2 * (-5 + 5n + 6n2)) = 0
(15 + -15n + -18n2 + (-5 * 6n + 5n * 6n + 6n2 * 6n) + 6n2 * (-5 + 5n + 6n2)) = 0
(15 + -15n + -18n2 + (-30n + 30n2 + 36n3) + 6n2 * (-5 + 5n + 6n2)) = 0
(15 + -15n + -18n2 + -30n + 30n2 + 36n3 + (-5 * 6n2 + 5n * 6n2 + 6n2 * 6n2)) = 0
(15 + -15n + -18n2 + -30n + 30n2 + 36n3 + (-30n2 + 30n3 + 36n4)) = 0

Reorder the terms:
(15 + -15n + -30n + -18n2 + 30n2 + -30n2 + 36n3 + 30n3 + 36n4) = 0

Combine like terms: -15n + -30n = -45n
(15 + -45n + -18n2 + 30n2 + -30n2 + 36n3 + 30n3 + 36n4) = 0

Combine like terms: -18n2 + 30n2 = 12n2
(15 + -45n + 12n2 + -30n2 + 36n3 + 30n3 + 36n4) = 0

Combine like terms: 12n2 + -30n2 = -18n2
(15 + -45n + -18n2 + 36n3 + 30n3 + 36n4) = 0

Combine like terms: 36n3 + 30n3 = 66n3
(15 + -45n + -18n2 + 66n3 + 36n4) = 0

Solving
15 + -45n + -18n2 + 66n3 + 36n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -15n + -6n2 + 22n3 + 12n4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -15n + -6n2 + 22n3 + 12n4)' equal to zero and attempt to solve:

Simplifying
5 + -15n + -6n2 + 22n3 + 12n4 = 0

Solving
5 + -15n + -6n2 + 22n3 + 12n4 = 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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