(A-4)(3a+5)(a+4)=

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Solution for (A-4)(3a+5)(a+4)= equation: 


Simplifying
(A + -4)(3a + 5)(a + 4) = 0

Reorder the terms:
(-4 + A)(3a + 5)(a + 4) = 0

Reorder the terms:
(-4 + A)(5 + 3a)(a + 4) = 0

Reorder the terms:
(-4 + A)(5 + 3a)(4 + a) = 0

Multiply (-4 + A) * (5 + 3a)
(-4(5 + 3a) + A(5 + 3a))(4 + a) = 0
((5 * -4 + 3a * -4) + A(5 + 3a))(4 + a) = 0
((-20 + -12a) + A(5 + 3a))(4 + a) = 0
(-20 + -12a + (5 * A + 3a * A))(4 + a) = 0
(-20 + -12a + (5A + 3aA))(4 + a) = 0

Reorder the terms:
(-20 + 5A + -12a + 3aA)(4 + a) = 0
(-20 + 5A + -12a + 3aA)(4 + a) = 0

Multiply (-20 + 5A + -12a + 3aA) * (4 + a)
(-20(4 + a) + 5A * (4 + a) + -12a * (4 + a) + 3aA * (4 + a)) = 0
((4 * -20 + a * -20) + 5A * (4 + a) + -12a * (4 + a) + 3aA * (4 + a)) = 0
((-80 + -20a) + 5A * (4 + a) + -12a * (4 + a) + 3aA * (4 + a)) = 0
(-80 + -20a + (4 * 5A + a * 5A) + -12a * (4 + a) + 3aA * (4 + a)) = 0
(-80 + -20a + (20A + 5aA) + -12a * (4 + a) + 3aA * (4 + a)) = 0
(-80 + -20a + 20A + 5aA + (4 * -12a + a * -12a) + 3aA * (4 + a)) = 0
(-80 + -20a + 20A + 5aA + (-48a + -12a2) + 3aA * (4 + a)) = 0
(-80 + -20a + 20A + 5aA + -48a + -12a2 + (4 * 3aA + a * 3aA)) = 0
(-80 + -20a + 20A + 5aA + -48a + -12a2 + (12aA + 3a2A)) = 0

Reorder the terms:
(-80 + 20A + -20a + -48a + 5aA + 12aA + -12a2 + 3a2A) = 0

Combine like terms: -20a + -48a = -68a
(-80 + 20A + -68a + 5aA + 12aA + -12a2 + 3a2A) = 0

Combine like terms: 5aA + 12aA = 17aA
(-80 + 20A + -68a + 17aA + -12a2 + 3a2A) = 0

Solving
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '80' to each side of the equation.
-80 + 20A + -68a + 17aA + -12a2 + 80 + 3a2A = 0 + 80

Reorder the terms:
-80 + 80 + 20A + -68a + 17aA + -12a2 + 3a2A = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 20A + -68a + 17aA + -12a2 + 3a2A = 0 + 80
20A + -68a + 17aA + -12a2 + 3a2A = 0 + 80

Combine like terms: 0 + 80 = 80
20A + -68a + 17aA + -12a2 + 3a2A = 80

Add '68a' to each side of the equation.
20A + -68a + 17aA + -12a2 + 68a + 3a2A = 80 + 68a

Reorder the terms:
20A + -68a + 68a + 17aA + -12a2 + 3a2A = 80 + 68a

Combine like terms: -68a + 68a = 0
20A + 0 + 17aA + -12a2 + 3a2A = 80 + 68a
20A + 17aA + -12a2 + 3a2A = 80 + 68a

Add '12a2' to each side of the equation.
20A + 17aA + -12a2 + 12a2 + 3a2A = 80 + 68a + 12a2

Combine like terms: -12a2 + 12a2 = 0
20A + 17aA + 0 + 3a2A = 80 + 68a + 12a2
20A + 17aA + 3a2A = 80 + 68a + 12a2

Reorder the terms:
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 80 + 68a + 12a2 + -80 + -68a + -12a2

Reorder the terms:
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 80 + -80 + 68a + -68a + 12a2 + -12a2

Combine like terms: 80 + -80 = 0
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 0 + 68a + -68a + 12a2 + -12a2
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 68a + -68a + 12a2 + -12a2

Combine like terms: 68a + -68a = 0
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 0 + 12a2 + -12a2
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 12a2 + -12a2

Combine like terms: 12a2 + -12a2 = 0
-80 + 20A + -68a + 17aA + -12a2 + 3a2A = 0

The solution to this equation could not be determined.

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