(a^3-2)(a^3+1)=

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Solution for (a^3-2)(a^3+1)= equation: 


Simplifying
(a3 + -2)(a3 + 1) = 0

Reorder the terms:
(-2 + a3)(a3 + 1) = 0

Reorder the terms:
(-2 + a3)(1 + a3) = 0

Multiply (-2 + a3) * (1 + a3)
(-2(1 + a3) + a3(1 + a3)) = 0
((1 * -2 + a3 * -2) + a3(1 + a3)) = 0
((-2 + -2a3) + a3(1 + a3)) = 0
(-2 + -2a3 + (1 * a3 + a3 * a3)) = 0
(-2 + -2a3 + (1a3 + a6)) = 0

Combine like terms: -2a3 + 1a3 = -1a3
(-2 + -1a3 + a6) = 0

Solving
-2 + -1a3 + a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1 + -1a3)(2 + -1a3) = 0


Subproblem 1
Set the factor '(-1 + -1a3)' equal to zero and attempt to solve:

Simplifying
-1 + -1a3 = 0

Solving
-1 + -1a3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1a3 = 0 + 1

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

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

Divide each side by '-1'.
a3 = -1

Simplifying
a3 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -1a3)' equal to zero and attempt to solve:

Simplifying
2 + -1a3 = 0

Solving
2 + -1a3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a3 = 0 + -2
-1a3 = 0 + -2

Combine like terms: 0 + -2 = -2
-1a3 = -2

Divide each side by '-1'.
a3 = 2

Simplifying
a3 = 2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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