20a^4+39a^3+7a^2=

Solution for 20a^4+39a^3+7a^2= equation:

Simplifying
20a4 + 39a3 + 7a2 = 0

Reorder the terms:
7a2 + 39a3 + 20a4 = 0

Solving
7a2 + 39a3 + 20a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(7 + 39a + 20a2) = 0

Factor a trinomial.
a2((7 + 4a)(1 + 5a)) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(7 + 4a)' equal to zero and attempt to solve:

Simplifying
7 + 4a = 0

Solving
7 + 4a = 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 + 4a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4a = 0 + -7
4a = 0 + -7

Combine like terms: 0 + -7 = -7
4a = -7

Divide each side by '4'.
a = -1.75

Simplifying
a = -1.75
Subproblem 3
Set the factor '(1 + 5a)' equal to zero and attempt to solve:

Simplifying
1 + 5a = 0

Solving
1 + 5a = 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 + 5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 0 + -1
5a = 0 + -1

Combine like terms: 0 + -1 = -1
5a = -1

Divide each side by '5'.
a = -0.2

Simplifying
a = -0.2
Solution
a = {0, -1.75, -0.2}