3a^2-4ab-20b^2=0

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Solution for 3a^2-4ab-20b^2=0 equation: 


Simplifying
3a2 + -4ab + -20b2 = 0

Reorder the terms:
-4ab + 3a2 + -20b2 = 0

Solving
-4ab + 3a2 + -20b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + -10b)(a + 2b) = 0


Subproblem 1
Set the factor '(3a + -10b)' equal to zero and attempt to solve:

Simplifying
3a + -10b = 0

Solving
3a + -10b = 0

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

Add '10b' to each side of the equation.
3a + -10b + 10b = 0 + 10b

Combine like terms: -10b + 10b = 0
3a + 0 = 0 + 10b
3a = 0 + 10b
Remove the zero:
3a = 10b

Divide each side by '3'.
a = 3.333333333b

Simplifying
a = 3.333333333b

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

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

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

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

Simplifying
a = -2b
Solution
a = {3.333333333b, -2b}

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