(9a^3+7)(7a^3-9)=0

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Solution for (9a^3+7)(7a^3-9)=0 equation: 


Simplifying
(9a3 + 7)(7a3 + -9) = 0

Reorder the terms:
(7 + 9a3)(7a3 + -9) = 0

Reorder the terms:
(7 + 9a3)(-9 + 7a3) = 0

Multiply (7 + 9a3) * (-9 + 7a3)
(7(-9 + 7a3) + 9a3 * (-9 + 7a3)) = 0
((-9 * 7 + 7a3 * 7) + 9a3 * (-9 + 7a3)) = 0
((-63 + 49a3) + 9a3 * (-9 + 7a3)) = 0
(-63 + 49a3 + (-9 * 9a3 + 7a3 * 9a3)) = 0
(-63 + 49a3 + (-81a3 + 63a6)) = 0

Combine like terms: 49a3 + -81a3 = -32a3
(-63 + -32a3 + 63a6) = 0

Solving
-63 + -32a3 + 63a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -9a3)(9 + -7a3) = 0


Subproblem 1
Set the factor '(-7 + -9a3)' equal to zero and attempt to solve:

Simplifying
-7 + -9a3 = 0

Solving
-7 + -9a3 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -9a3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9a3 = 0 + 7
-9a3 = 0 + 7

Combine like terms: 0 + 7 = 7
-9a3 = 7

Divide each side by '-9'.
a3 = -0.7777777778

Simplifying
a3 = -0.7777777778

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 '(9 + -7a3)' equal to zero and attempt to solve:

Simplifying
9 + -7a3 = 0

Solving
9 + -7a3 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7a3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7a3 = 0 + -9
-7a3 = 0 + -9

Combine like terms: 0 + -9 = -9
-7a3 = -9

Divide each side by '-7'.
a3 = 1.285714286

Simplifying
a3 = 1.285714286

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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