(a-4)(5a+2)(a+4)=0

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Solution for (a-4)(5a+2)(a+4)=0 equation:


Simplifying
(a + -4)(5a + 2)(a + 4) = 0

Reorder the terms:
(-4 + a)(5a + 2)(a + 4) = 0

Reorder the terms:
(-4 + a)(2 + 5a)(a + 4) = 0

Reorder the terms:
(-4 + a)(2 + 5a)(4 + a) = 0

Multiply (-4 + a) * (2 + 5a)
(-4(2 + 5a) + a(2 + 5a))(4 + a) = 0
((2 * -4 + 5a * -4) + a(2 + 5a))(4 + a) = 0
((-8 + -20a) + a(2 + 5a))(4 + a) = 0
(-8 + -20a + (2 * a + 5a * a))(4 + a) = 0
(-8 + -20a + (2a + 5a2))(4 + a) = 0

Combine like terms: -20a + 2a = -18a
(-8 + -18a + 5a2)(4 + a) = 0

Multiply (-8 + -18a + 5a2) * (4 + a)
(-8(4 + a) + -18a * (4 + a) + 5a2 * (4 + a)) = 0
((4 * -8 + a * -8) + -18a * (4 + a) + 5a2 * (4 + a)) = 0
((-32 + -8a) + -18a * (4 + a) + 5a2 * (4 + a)) = 0
(-32 + -8a + (4 * -18a + a * -18a) + 5a2 * (4 + a)) = 0
(-32 + -8a + (-72a + -18a2) + 5a2 * (4 + a)) = 0
(-32 + -8a + -72a + -18a2 + (4 * 5a2 + a * 5a2)) = 0
(-32 + -8a + -72a + -18a2 + (20a2 + 5a3)) = 0

Combine like terms: -8a + -72a = -80a
(-32 + -80a + -18a2 + 20a2 + 5a3) = 0

Combine like terms: -18a2 + 20a2 = 2a2
(-32 + -80a + 2a2 + 5a3) = 0

Solving
-32 + -80a + 2a2 + 5a3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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