a^2-12af+35f^2=

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Solution for a^2-12af+35f^2= equation:


Simplifying
a2 + -12af + 35f2 = 0

Reorder the terms:
-12af + a2 + 35f2 = 0

Solving
-12af + a2 + 35f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -7f)(a + -5f) = 0

Subproblem 1

Set the factor '(a + -7f)' equal to zero and attempt to solve: Simplifying a + -7f = 0 Solving a + -7f = 0 Move all terms containing a to the left, all other terms to the right. Add '7f' to each side of the equation. a + -7f + 7f = 0 + 7f Combine like terms: -7f + 7f = 0 a + 0 = 0 + 7f a = 0 + 7f Remove the zero: a = 7f Simplifying a = 7f

Subproblem 2

Set the factor '(a + -5f)' equal to zero and attempt to solve: Simplifying a + -5f = 0 Solving a + -5f = 0 Move all terms containing a to the left, all other terms to the right. Add '5f' to each side of the equation. a + -5f + 5f = 0 + 5f Combine like terms: -5f + 5f = 0 a + 0 = 0 + 5f a = 0 + 5f Remove the zero: a = 5f Simplifying a = 5f

Solution

a = {7f, 5f}

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