6s^2-25sb+14b^2=

Solution for 6s^2-25sb+14b^2= equation:

Simplifying
6s2 + -25sb + 14b2 = 0

Reorder the terms:
-25bs + 14b2 + 6s2 = 0

Solving
-25bs + 14b2 + 6s2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(2b + -3s)' equal to zero and attempt to solve:

Simplifying
2b + -3s = 0

Solving
2b + -3s = 0

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

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

Combine like terms: -3s + 3s = 0
2b + 0 = 0 + 3s
2b = 0 + 3s
Remove the zero:
2b = 3s

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

Simplifying
b = 1.5s
Subproblem 2
Set the factor '(7b + -2s)' equal to zero and attempt to solve:

Simplifying
7b + -2s = 0

Solving
7b + -2s = 0

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

Add '2s' to each side of the equation.
7b + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
7b + 0 = 0 + 2s
7b = 0 + 2s
Remove the zero:
7b = 2s

Divide each side by '7'.
b = 0.2857142857s

Simplifying
b = 0.2857142857s
Solution
b = {1.5s, 0.2857142857s}