20v^2+11va-3a^2=

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Solution for 20v^2+11va-3a^2= equation: 


Simplifying
20v2 + 11va + -3a2 = 0

Reorder the terms:
11av + -3a2 + 20v2 = 0

Solving
11av + -3a2 + 20v2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(-3a + -4v)' equal to zero and attempt to solve:

Simplifying
-3a + -4v = 0

Solving
-3a + -4v = 0

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

Add '4v' to each side of the equation.
-3a + -4v + 4v = 0 + 4v

Combine like terms: -4v + 4v = 0
-3a + 0 = 0 + 4v
-3a = 0 + 4v
Remove the zero:
-3a = 4v

Divide each side by '-3'.
a = -1.333333333v

Simplifying
a = -1.333333333v

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

Simplifying
a + -5v = 0

Solving
a + -5v = 0

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

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

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

Simplifying
a = 5v
Solution
a = {-1.333333333v, 5v}

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