20b^2-13bv-15v^2=0

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Solution for 20b^2-13bv-15v^2=0 equation: 


Simplifying
20b2 + -13bv + -15v2 = 0

Reorder the terms:
-13bv + 20b2 + -15v2 = 0

Solving
-13bv + 20b2 + -15v2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4b + -5v)(5b + 3v) = 0


Subproblem 1
Set the factor '(4b + -5v)' equal to zero and attempt to solve:

Simplifying
4b + -5v = 0

Solving
4b + -5v = 0

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

Add '5v' to each side of the equation.
4b + -5v + 5v = 0 + 5v

Combine like terms: -5v + 5v = 0
4b + 0 = 0 + 5v
4b = 0 + 5v
Remove the zero:
4b = 5v

Divide each side by '4'.
b = 1.25v

Simplifying
b = 1.25v

Subproblem 2
Set the factor '(5b + 3v)' equal to zero and attempt to solve:

Simplifying
5b + 3v = 0

Solving
5b + 3v = 0

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

Add '-3v' to each side of the equation.
5b + 3v + -3v = 0 + -3v

Combine like terms: 3v + -3v = 0
5b + 0 = 0 + -3v
5b = 0 + -3v
Remove the zero:
5b = -3v

Divide each side by '5'.
b = -0.6v

Simplifying
b = -0.6v
Solution
b = {1.25v, -0.6v}

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