5b^2k^2+25bk^2-250k^2=

Solution for 5b^2k^2+25bk^2-250k^2= equation:

Simplifying
5b2k2 + 25bk2 + -250k2 = 0

Reorder the terms:
25bk2 + 5b2k2 + -250k2 = 0

Solving
25bk2 + 5b2k2 + -250k2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5k2'.
5k2(5b + b2 + -50) = 0

Factor a trinomial.
5k2((b + -5)(b + 10)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Add '-1k2' to each side of the equation.
k2 + -1k2 = 0 + -1k2
Remove the zero:
0 = -1k2

Simplifying
0 = -1k2

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 '(b + -5)' equal to zero and attempt to solve:

Simplifying
b + -5 = 0

Reorder the terms:
-5 + b = 0

Solving
-5 + b = 0

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

Add '5' to each side of the equation.
-5 + 5 + b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + b = 0 + 5
b = 0 + 5

Combine like terms: 0 + 5 = 5
b = 5

Simplifying
b = 5
Subproblem 3
Set the factor '(b + 10)' equal to zero and attempt to solve:

Simplifying
b + 10 = 0

Reorder the terms:
10 + b = 0

Solving
10 + b = 0

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

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

Combine like terms: 10 + -10 = 0
0 + b = 0 + -10
b = 0 + -10

Combine like terms: 0 + -10 = -10
b = -10

Simplifying
b = -10
Solution
b = {5, -10}