(5n-15)(5n^2)+15n^2-45n=45n-135

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Solution for (5n-15)(5n^2)+15n^2-45n=45n-135 equation: 


Simplifying
(5n + -15)(5n2) + 15n2 + -45n = 45n + -135

Reorder the terms:
(-15 + 5n)(5n2) + 15n2 + -45n = 45n + -135

Remove parenthesis around (5n2)
(-15 + 5n) * 5n2 + 15n2 + -45n = 45n + -135

Reorder the terms for easier multiplication:
5n2(-15 + 5n) + 15n2 + -45n = 45n + -135
(-15 * 5n2 + 5n * 5n2) + 15n2 + -45n = 45n + -135
(-75n2 + 25n3) + 15n2 + -45n = 45n + -135

Reorder the terms:
-45n + -75n2 + 15n2 + 25n3 = 45n + -135

Combine like terms: -75n2 + 15n2 = -60n2
-45n + -60n2 + 25n3 = 45n + -135

Reorder the terms:
-45n + -60n2 + 25n3 = -135 + 45n

Solving
-45n + -60n2 + 25n3 = -135 + 45n

Solving for variable 'n'.

Reorder the terms:
135 + -45n + -45n + -60n2 + 25n3 = -135 + 45n + 135 + -45n

Combine like terms: -45n + -45n = -90n
135 + -90n + -60n2 + 25n3 = -135 + 45n + 135 + -45n

Reorder the terms:
135 + -90n + -60n2 + 25n3 = -135 + 135 + 45n + -45n

Combine like terms: -135 + 135 = 0
135 + -90n + -60n2 + 25n3 = 0 + 45n + -45n
135 + -90n + -60n2 + 25n3 = 45n + -45n

Combine like terms: 45n + -45n = 0
135 + -90n + -60n2 + 25n3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(27 + -18n + -12n2 + 5n3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(27 + -18n + -12n2 + 5n3)' equal to zero and attempt to solve:

Simplifying
27 + -18n + -12n2 + 5n3 = 0

Solving
27 + -18n + -12n2 + 5n3 = 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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