(a+6)(a^2-8a+8)=a^3-2a^2-40a+48

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Solution for (a+6)(a^2-8a+8)=a^3-2a^2-40a+48 equation: 


Simplifying
(a + 6)(a2 + -8a + 8) = a3 + -2a2 + -40a + 48

Reorder the terms:
(6 + a)(a2 + -8a + 8) = a3 + -2a2 + -40a + 48

Reorder the terms:
(6 + a)(8 + -8a + a2) = a3 + -2a2 + -40a + 48

Multiply (6 + a) * (8 + -8a + a2)
(6(8 + -8a + a2) + a(8 + -8a + a2)) = a3 + -2a2 + -40a + 48
((8 * 6 + -8a * 6 + a2 * 6) + a(8 + -8a + a2)) = a3 + -2a2 + -40a + 48
((48 + -48a + 6a2) + a(8 + -8a + a2)) = a3 + -2a2 + -40a + 48
(48 + -48a + 6a2 + (8 * a + -8a * a + a2 * a)) = a3 + -2a2 + -40a + 48
(48 + -48a + 6a2 + (8a + -8a2 + a3)) = a3 + -2a2 + -40a + 48

Reorder the terms:
(48 + -48a + 8a + 6a2 + -8a2 + a3) = a3 + -2a2 + -40a + 48

Combine like terms: -48a + 8a = -40a
(48 + -40a + 6a2 + -8a2 + a3) = a3 + -2a2 + -40a + 48

Combine like terms: 6a2 + -8a2 = -2a2
(48 + -40a + -2a2 + a3) = a3 + -2a2 + -40a + 48

Reorder the terms:
48 + -40a + -2a2 + a3 = 48 + -40a + -2a2 + a3

Add '-48' to each side of the equation.
48 + -40a + -2a2 + -48 + a3 = 48 + -40a + -2a2 + -48 + a3

Reorder the terms:
48 + -48 + -40a + -2a2 + a3 = 48 + -40a + -2a2 + -48 + a3

Combine like terms: 48 + -48 = 0
0 + -40a + -2a2 + a3 = 48 + -40a + -2a2 + -48 + a3
-40a + -2a2 + a3 = 48 + -40a + -2a2 + -48 + a3

Reorder the terms:
-40a + -2a2 + a3 = 48 + -48 + -40a + -2a2 + a3

Combine like terms: 48 + -48 = 0
-40a + -2a2 + a3 = 0 + -40a + -2a2 + a3
-40a + -2a2 + a3 = -40a + -2a2 + a3

Add '40a' to each side of the equation.
-40a + -2a2 + 40a + a3 = -40a + -2a2 + 40a + a3

Reorder the terms:
-40a + 40a + -2a2 + a3 = -40a + -2a2 + 40a + a3

Combine like terms: -40a + 40a = 0
0 + -2a2 + a3 = -40a + -2a2 + 40a + a3
-2a2 + a3 = -40a + -2a2 + 40a + a3

Reorder the terms:
-2a2 + a3 = -40a + 40a + -2a2 + a3

Combine like terms: -40a + 40a = 0
-2a2 + a3 = 0 + -2a2 + a3
-2a2 + a3 = -2a2 + a3

Add '2a2' to each side of the equation.
-2a2 + 2a2 + a3 = -2a2 + 2a2 + a3

Combine like terms: -2a2 + 2a2 = 0
0 + a3 = -2a2 + 2a2 + a3
a3 = -2a2 + 2a2 + a3

Combine like terms: -2a2 + 2a2 = 0
a3 = 0 + a3
a3 = a3

Add '-1a3' to each side of the equation.
a3 + -1a3 = a3 + -1a3

Combine like terms: a3 + -1a3 = 0
0 = a3 + -1a3

Combine like terms: a3 + -1a3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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