5(16a^2+8a+1)=

Solution for 5(16a^2+8a+1)= equation:

Simplifying
5(16a2 + 8a + 1) = 0

Reorder the terms:
5(1 + 8a + 16a2) = 0
(1 * 5 + 8a * 5 + 16a2 * 5) = 0
(5 + 40a + 80a2) = 0

Solving
5 + 40a + 80a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + 8a + 16a2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + 4a)' equal to zero and attempt to solve:

Simplifying
1 + 4a = 0

Solving
1 + 4a = 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 + 4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 0 + -1
4a = 0 + -1

Combine like terms: 0 + -1 = -1
4a = -1

Divide each side by '4'.
a = -0.25

Simplifying
a = -0.25
Subproblem 2
Set the factor '(1 + 4a)' equal to zero and attempt to solve:

Simplifying
1 + 4a = 0

Solving
1 + 4a = 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 + 4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 0 + -1
4a = 0 + -1

Combine like terms: 0 + -1 = -1
4a = -1

Divide each side by '4'.
a = -0.25

Simplifying
a = -0.25
Solution
a = {-0.25, -0.25}