56b^2-23bs-63s^2=0

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Solution for 56b^2-23bs-63s^2=0 equation: 


Simplifying
56b2 + -23bs + -63s2 = 0

Reorder the terms:
-23bs + 56b2 + -63s2 = 0

Solving
-23bs + 56b2 + -63s2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7b + -9s)(8b + 7s) = 0


Subproblem 1
Set the factor '(7b + -9s)' equal to zero and attempt to solve:

Simplifying
7b + -9s = 0

Solving
7b + -9s = 0

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

Add '9s' to each side of the equation.
7b + -9s + 9s = 0 + 9s

Combine like terms: -9s + 9s = 0
7b + 0 = 0 + 9s
7b = 0 + 9s
Remove the zero:
7b = 9s

Divide each side by '7'.
b = 1.285714286s

Simplifying
b = 1.285714286s

Subproblem 2
Set the factor '(8b + 7s)' equal to zero and attempt to solve:

Simplifying
8b + 7s = 0

Solving
8b + 7s = 0

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

Add '-7s' to each side of the equation.
8b + 7s + -7s = 0 + -7s

Combine like terms: 7s + -7s = 0
8b + 0 = 0 + -7s
8b = 0 + -7s
Remove the zero:
8b = -7s

Divide each side by '8'.
b = -0.875s

Simplifying
b = -0.875s
Solution
b = {1.285714286s, -0.875s}

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