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

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


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

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

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

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

Multiply (-2 + A) * (5 + 4a)
(-2(5 + 4a) + A(5 + 4a))(2 + a) = 0
((5 * -2 + 4a * -2) + A(5 + 4a))(2 + a) = 0
((-10 + -8a) + A(5 + 4a))(2 + a) = 0
(-10 + -8a + (5 * A + 4a * A))(2 + a) = 0
(-10 + -8a + (5A + 4aA))(2 + a) = 0

Reorder the terms:
(-10 + 5A + -8a + 4aA)(2 + a) = 0
(-10 + 5A + -8a + 4aA)(2 + a) = 0

Multiply (-10 + 5A + -8a + 4aA) * (2 + a)
(-10(2 + a) + 5A * (2 + a) + -8a * (2 + a) + 4aA * (2 + a)) = 0
((2 * -10 + a * -10) + 5A * (2 + a) + -8a * (2 + a) + 4aA * (2 + a)) = 0
((-20 + -10a) + 5A * (2 + a) + -8a * (2 + a) + 4aA * (2 + a)) = 0
(-20 + -10a + (2 * 5A + a * 5A) + -8a * (2 + a) + 4aA * (2 + a)) = 0
(-20 + -10a + (10A + 5aA) + -8a * (2 + a) + 4aA * (2 + a)) = 0
(-20 + -10a + 10A + 5aA + (2 * -8a + a * -8a) + 4aA * (2 + a)) = 0
(-20 + -10a + 10A + 5aA + (-16a + -8a2) + 4aA * (2 + a)) = 0
(-20 + -10a + 10A + 5aA + -16a + -8a2 + (2 * 4aA + a * 4aA)) = 0
(-20 + -10a + 10A + 5aA + -16a + -8a2 + (8aA + 4a2A)) = 0

Reorder the terms:
(-20 + 10A + -10a + -16a + 5aA + 8aA + -8a2 + 4a2A) = 0

Combine like terms: -10a + -16a = -26a
(-20 + 10A + -26a + 5aA + 8aA + -8a2 + 4a2A) = 0

Combine like terms: 5aA + 8aA = 13aA
(-20 + 10A + -26a + 13aA + -8a2 + 4a2A) = 0

Solving
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 0

Solving for variable 'A'.

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

Add '20' to each side of the equation.
-20 + 10A + -26a + 13aA + -8a2 + 20 + 4a2A = 0 + 20

Reorder the terms:
-20 + 20 + 10A + -26a + 13aA + -8a2 + 4a2A = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10A + -26a + 13aA + -8a2 + 4a2A = 0 + 20
10A + -26a + 13aA + -8a2 + 4a2A = 0 + 20

Combine like terms: 0 + 20 = 20
10A + -26a + 13aA + -8a2 + 4a2A = 20

Add '26a' to each side of the equation.
10A + -26a + 13aA + -8a2 + 26a + 4a2A = 20 + 26a

Reorder the terms:
10A + -26a + 26a + 13aA + -8a2 + 4a2A = 20 + 26a

Combine like terms: -26a + 26a = 0
10A + 0 + 13aA + -8a2 + 4a2A = 20 + 26a
10A + 13aA + -8a2 + 4a2A = 20 + 26a

Add '8a2' to each side of the equation.
10A + 13aA + -8a2 + 8a2 + 4a2A = 20 + 26a + 8a2

Combine like terms: -8a2 + 8a2 = 0
10A + 13aA + 0 + 4a2A = 20 + 26a + 8a2
10A + 13aA + 4a2A = 20 + 26a + 8a2

Reorder the terms:
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 20 + 26a + 8a2 + -20 + -26a + -8a2

Reorder the terms:
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 20 + -20 + 26a + -26a + 8a2 + -8a2

Combine like terms: 20 + -20 = 0
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 0 + 26a + -26a + 8a2 + -8a2
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 26a + -26a + 8a2 + -8a2

Combine like terms: 26a + -26a = 0
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 0 + 8a2 + -8a2
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 8a2 + -8a2

Combine like terms: 8a2 + -8a2 = 0
-20 + 10A + -26a + 13aA + -8a2 + 4a2A = 0

The solution to this equation could not be determined.

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