a^2-21ab+110b^2=0

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Solution for a^2-21ab+110b^2=0 equation:


Simplifying
a2 + -21ab + 110b2 = 0

Reorder the terms:
-21ab + a2 + 110b2 = 0

Solving
-21ab + a2 + 110b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -11b)(a + -10b) = 0

Subproblem 1

Set the factor '(a + -11b)' equal to zero and attempt to solve: Simplifying a + -11b = 0 Solving a + -11b = 0 Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. a + -11b + 11b = 0 + 11b Combine like terms: -11b + 11b = 0 a + 0 = 0 + 11b a = 0 + 11b Remove the zero: a = 11b Simplifying a = 11b

Subproblem 2

Set the factor '(a + -10b)' equal to zero and attempt to solve: Simplifying a + -10b = 0 Solving a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 a + 0 = 0 + 10b a = 0 + 10b Remove the zero: a = 10b Simplifying a = 10b

Solution

a = {11b, 10b}

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