5a^2+5a+a+1a=-2

Solution for 5a^2+5a+a+1a=-2 equation:

Simplifying
5a2 + 5a + a + 1a = -2

Reorder the terms:
5a + a + 1a + 5a2 = -2

Combine like terms: 5a + a = 6a
6a + 1a + 5a2 = -2

Combine like terms: 6a + 1a = 7a
7a + 5a2 = -2

Solving
7a + 5a2 = -2

Solving for variable 'a'.

Reorder the terms:
2 + 7a + 5a2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 7a + 5a2 = 0

Factor a trinomial.
(1 + a)(2 + 5a) = 0

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

Simplifying
1 + a = 0

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

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

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

Simplifying
a = -1
Subproblem 2
Set the factor '(2 + 5a)' equal to zero and attempt to solve:

Simplifying
2 + 5a = 0

Solving
2 + 5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 0 + -2
5a = 0 + -2

Combine like terms: 0 + -2 = -2
5a = -2

Divide each side by '5'.
a = -0.4

Simplifying
a = -0.4
Solution
a = {-1, -0.4}