7a^5-9a^3+2a^4=

Solution for 7a^5-9a^3+2a^4= equation:

Simplifying
7a5 + -9a3 + 2a4 = 0

Reorder the terms:
-9a3 + 2a4 + 7a5 = 0

Solving
-9a3 + 2a4 + 7a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(-9 + 2a + 7a2) = 0

Factor a trinomial.
a3((-9 + -7a)(1 + -1a)) = 0

Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 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 + -7a)' equal to zero and attempt to solve:

Simplifying
-9 + -7a = 0

Solving
-9 + -7a = 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 + -7a = 0 + 9

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

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

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

Simplifying
a = -1.285714286
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 = {-1.285714286, 1}