a^2-10ab-39b^2=0

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Solution for a^2-10ab-39b^2=0 equation:


Simplifying
a2 + -10ab + -39b2 = 0

Reorder the terms:
-10ab + a2 + -39b2 = 0

Solving
-10ab + a2 + -39b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -13b)(a + 3b) = 0

Subproblem 1

Set the factor '(a + -13b)' equal to zero and attempt to solve: Simplifying a + -13b = 0 Solving a + -13b = 0 Move all terms containing a to the left, all other terms to the right. Add '13b' to each side of the equation. a + -13b + 13b = 0 + 13b Combine like terms: -13b + 13b = 0 a + 0 = 0 + 13b a = 0 + 13b Remove the zero: a = 13b Simplifying a = 13b

Subproblem 2

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

Solution

a = {13b, -3b}

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