42s^3-69s^2+9s=

Solution for 42s^3-69s^2+9s= equation:

Simplifying
42s3 + -69s2 + 9s = 0

Reorder the terms:
9s + -69s2 + 42s3 = 0

Solving
9s + -69s2 + 42s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3s'.
3s(3 + -23s + 14s2) = 0

Factor a trinomial.
3s((1 + -7s)(3 + -2s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(1 + -7s)' equal to zero and attempt to solve:

Simplifying
1 + -7s = 0

Solving
1 + -7s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7s = 0 + -1
-7s = 0 + -1

Combine like terms: 0 + -1 = -1
-7s = -1

Divide each side by '-7'.
s = 0.1428571429

Simplifying
s = 0.1428571429
Subproblem 3
Set the factor '(3 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {0, 0.1428571429, 1.5}