56v^2+17vb-3b^2=

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Solution for 56v^2+17vb-3b^2= equation: 


Simplifying
56v2 + 17vb + -3b2 = 0

Reorder the terms:
17bv + -3b2 + 56v2 = 0

Solving
17bv + -3b2 + 56v2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3b + -7v)(b + -8v) = 0


Subproblem 1
Set the factor '(-3b + -7v)' equal to zero and attempt to solve:

Simplifying
-3b + -7v = 0

Solving
-3b + -7v = 0

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

Add '7v' to each side of the equation.
-3b + -7v + 7v = 0 + 7v

Combine like terms: -7v + 7v = 0
-3b + 0 = 0 + 7v
-3b = 0 + 7v
Remove the zero:
-3b = 7v

Divide each side by '-3'.
b = -2.333333333v

Simplifying
b = -2.333333333v

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

Simplifying
b + -8v = 0

Solving
b + -8v = 0

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

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

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

Simplifying
b = 8v
Solution
b = {-2.333333333v, 8v}

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