3a^7(a+9)(a-1)=

Solution for 3a^7(a+9)(a-1)= equation:

Simplifying
3a7(a + 9)(a + -1) = 0

Reorder the terms:
3a7(9 + a)(a + -1) = 0

Reorder the terms:
3a7(9 + a)(-1 + a) = 0

Multiply (9 + a) * (-1 + a)
3a7(9(-1 + a) + a(-1 + a)) = 0
3a7((-1 * 9 + a * 9) + a(-1 + a)) = 0
3a7((-9 + 9a) + a(-1 + a)) = 0
3a7(-9 + 9a + (-1 * a + a * a)) = 0
3a7(-9 + 9a + (-1a + a2)) = 0

Combine like terms: 9a + -1a = 8a
3a7(-9 + 8a + a2) = 0
(-9 * 3a7 + 8a * 3a7 + a2 * 3a7) = 0
(-27a7 + 24a8 + 3a9) = 0

Solving
-27a7 + 24a8 + 3a9 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a7'.
3a7(-9 + 8a + a2) = 0

Factor a trinomial.
3a7((-9 + -1a)(1 + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve:

Simplifying
a7 = 0

Solving
a7 = 0

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

Simplifying
a7 = 0

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 + -1a)' equal to zero and attempt to solve:

Simplifying
-9 + -1a = 0

Solving
-9 + -1a = 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 + -1a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1a = 0 + 9
-1a = 0 + 9

Combine like terms: 0 + 9 = 9
-1a = 9

Divide each side by '-1'.
a = -9

Simplifying
a = -9
Subproblem 3
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 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 + -1a = 0 + -1

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

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

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

Simplifying
a = 1
Solution
a = {-9, 1}