16a^2+8a=-1

Solution for 16a^2+8a=-1 equation:

Simplifying
16a2 + 8a = -1

Reorder the terms:
8a + 16a2 = -1

Solving
8a + 16a2 = -1

Solving for variable 'a'.

Reorder the terms:
1 + 8a + 16a2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 8a + 16a2 = 0

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

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}