7n^3+73n^2+90n=0

Solution for 7n^3+73n^2+90n=0 equation:

Simplifying
7n3 + 73n2 + 90n = 0

Reorder the terms:
90n + 73n2 + 7n3 = 0

Solving
90n + 73n2 + 7n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(90 + 73n + 7n2) = 0

Factor a trinomial.
n((9 + n)(10 + 7n)) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0
Subproblem 2
Set the factor '(9 + n)' equal to zero and attempt to solve:

Simplifying
9 + n = 0

Solving
9 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + n = 0 + -9
n = 0 + -9

Combine like terms: 0 + -9 = -9
n = -9

Simplifying
n = -9
Subproblem 3
Set the factor '(10 + 7n)' equal to zero and attempt to solve:

Simplifying
10 + 7n = 0

Solving
10 + 7n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 7n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7n = 0 + -10
7n = 0 + -10

Combine like terms: 0 + -10 = -10
7n = -10

Divide each side by '7'.
n = -1.428571429

Simplifying
n = -1.428571429
Solution
n = {0, -9, -1.428571429}