(a+6)(2a^2-5a)=a(a+6)+(2a-5)(a+6)

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Solution for (a+6)(2a^2-5a)=a(a+6)+(2a-5)(a+6) equation: 


Simplifying
(a + 6)(2a2 + -5a) = a(a + 6) + (2a + -5)(a + 6)

Reorder the terms:
(6 + a)(2a2 + -5a) = a(a + 6) + (2a + -5)(a + 6)

Reorder the terms:
(6 + a)(-5a + 2a2) = a(a + 6) + (2a + -5)(a + 6)

Multiply (6 + a) * (-5a + 2a2)
(6(-5a + 2a2) + a(-5a + 2a2)) = a(a + 6) + (2a + -5)(a + 6)
((-5a * 6 + 2a2 * 6) + a(-5a + 2a2)) = a(a + 6) + (2a + -5)(a + 6)
((-30a + 12a2) + a(-5a + 2a2)) = a(a + 6) + (2a + -5)(a + 6)
(-30a + 12a2 + (-5a * a + 2a2 * a)) = a(a + 6) + (2a + -5)(a + 6)
(-30a + 12a2 + (-5a2 + 2a3)) = a(a + 6) + (2a + -5)(a + 6)

Combine like terms: 12a2 + -5a2 = 7a2
(-30a + 7a2 + 2a3) = a(a + 6) + (2a + -5)(a + 6)

Reorder the terms:
-30a + 7a2 + 2a3 = a(6 + a) + (2a + -5)(a + 6)
-30a + 7a2 + 2a3 = (6 * a + a * a) + (2a + -5)(a + 6)
-30a + 7a2 + 2a3 = (6a + a2) + (2a + -5)(a + 6)

Reorder the terms:
-30a + 7a2 + 2a3 = 6a + a2 + (-5 + 2a)(a + 6)

Reorder the terms:
-30a + 7a2 + 2a3 = 6a + a2 + (-5 + 2a)(6 + a)

Multiply (-5 + 2a) * (6 + a)
-30a + 7a2 + 2a3 = 6a + a2 + (-5(6 + a) + 2a * (6 + a))
-30a + 7a2 + 2a3 = 6a + a2 + ((6 * -5 + a * -5) + 2a * (6 + a))
-30a + 7a2 + 2a3 = 6a + a2 + ((-30 + -5a) + 2a * (6 + a))
-30a + 7a2 + 2a3 = 6a + a2 + (-30 + -5a + (6 * 2a + a * 2a))
-30a + 7a2 + 2a3 = 6a + a2 + (-30 + -5a + (12a + 2a2))

Combine like terms: -5a + 12a = 7a
-30a + 7a2 + 2a3 = 6a + a2 + (-30 + 7a + 2a2)

Reorder the terms:
-30a + 7a2 + 2a3 = -30 + 6a + 7a + a2 + 2a2

Combine like terms: 6a + 7a = 13a
-30a + 7a2 + 2a3 = -30 + 13a + a2 + 2a2

Combine like terms: a2 + 2a2 = 3a2
-30a + 7a2 + 2a3 = -30 + 13a + 3a2

Solving
-30a + 7a2 + 2a3 = -30 + 13a + 3a2

Solving for variable 'a'.

Reorder the terms:
30 + -30a + -13a + 7a2 + -3a2 + 2a3 = -30 + 13a + 3a2 + 30 + -13a + -3a2

Combine like terms: -30a + -13a = -43a
30 + -43a + 7a2 + -3a2 + 2a3 = -30 + 13a + 3a2 + 30 + -13a + -3a2

Combine like terms: 7a2 + -3a2 = 4a2
30 + -43a + 4a2 + 2a3 = -30 + 13a + 3a2 + 30 + -13a + -3a2

Reorder the terms:
30 + -43a + 4a2 + 2a3 = -30 + 30 + 13a + -13a + 3a2 + -3a2

Combine like terms: -30 + 30 = 0
30 + -43a + 4a2 + 2a3 = 0 + 13a + -13a + 3a2 + -3a2
30 + -43a + 4a2 + 2a3 = 13a + -13a + 3a2 + -3a2

Combine like terms: 13a + -13a = 0
30 + -43a + 4a2 + 2a3 = 0 + 3a2 + -3a2
30 + -43a + 4a2 + 2a3 = 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
30 + -43a + 4a2 + 2a3 = 0

The solution to this equation could not be determined.

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