a^2-6af-27f^2=

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Solution for a^2-6af-27f^2= equation:


Simplifying
a2 + -6af + -27f2 = 0

Reorder the terms:
-6af + a2 + -27f2 = 0

Solving
-6af + a2 + -27f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -9f)(a + 3f) = 0

Subproblem 1

Set the factor '(a + -9f)' equal to zero and attempt to solve: Simplifying a + -9f = 0 Solving a + -9f = 0 Move all terms containing a to the left, all other terms to the right. Add '9f' to each side of the equation. a + -9f + 9f = 0 + 9f Combine like terms: -9f + 9f = 0 a + 0 = 0 + 9f a = 0 + 9f Remove the zero: a = 9f Simplifying a = 9f

Subproblem 2

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

Solution

a = {9f, -3f}

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