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

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


Simplifying
a2 + -2ab + -3b2 = 0

Reorder the terms:
-2ab + a2 + -3b2 = 0

Solving
-2ab + a2 + -3b2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(a + -3b)' equal to zero and attempt to solve: Simplifying a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3b

Subproblem 2

Set the factor '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1b

Solution

a = {3b, -1b}

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