16s^4+20s^3b-14s^2b^2=

Solution for 16s^4+20s^3b-14s^2b^2= equation:

Simplifying
16s4 + 20s3b + -14s2b2 = 0

Reorder the terms:
20bs3 + -14b2s2 + 16s4 = 0

Solving
20bs3 + -14b2s2 + 16s4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2s2'.
2s2(10bs + -7b2 + 8s2) = 0

Factor a trinomial.
2s2((-7b + -4s)(b + -2s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Add '-1s2' to each side of the equation.
s2 + -1s2 = 0 + -1s2
Remove the zero:
0 = -1s2

Simplifying
0 = -1s2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-7b + -4s)' equal to zero and attempt to solve:

Simplifying
-7b + -4s = 0

Solving
-7b + -4s = 0

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

Add '4s' to each side of the equation.
-7b + -4s + 4s = 0 + 4s

Combine like terms: -4s + 4s = 0
-7b + 0 = 0 + 4s
-7b = 0 + 4s
Remove the zero:
-7b = 4s

Divide each side by '-7'.
b = -0.5714285714s

Simplifying
b = -0.5714285714s
Subproblem 3
Set the factor '(b + -2s)' equal to zero and attempt to solve:

Simplifying
b + -2s = 0

Solving
b + -2s = 0

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

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

Combine like terms: -2s + 2s = 0
b + 0 = 0 + 2s
b = 0 + 2s
Remove the zero:
b = 2s

Simplifying
b = 2s
Solution
b = {-0.5714285714s, 2s}