a^2+4af-32f^2=0

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Solution for a^2+4af-32f^2=0 equation:


Simplifying
a2 + 4af + -32f2 = 0

Reorder the terms:
4af + a2 + -32f2 = 0

Solving
4af + a2 + -32f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -4f)(a + 8f) = 0

Subproblem 1

Set the factor '(a + -4f)' equal to zero and attempt to solve: Simplifying a + -4f = 0 Solving a + -4f = 0 Move all terms containing a to the left, all other terms to the right. Add '4f' to each side of the equation. a + -4f + 4f = 0 + 4f Combine like terms: -4f + 4f = 0 a + 0 = 0 + 4f a = 0 + 4f Remove the zero: a = 4f Simplifying a = 4f

Subproblem 2

Set the factor '(a + 8f)' equal to zero and attempt to solve: Simplifying a + 8f = 0 Solving a + 8f = 0 Move all terms containing a to the left, all other terms to the right. Add '-8f' to each side of the equation. a + 8f + -8f = 0 + -8f Combine like terms: 8f + -8f = 0 a + 0 = 0 + -8f a = 0 + -8f Remove the zero: a = -8f Simplifying a = -8f

Solution

a = {4f, -8f}

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