7a^2+29a+4=0

Solution for 7a^2+29a+4=0 equation:

Simplifying
7a2 + 29a + 4 = 0

Reorder the terms:
4 + 29a + 7a2 = 0

Solving
4 + 29a + 7a2 = 0

Solving for variable 'a'.

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

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

Simplifying
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

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

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

Simplifying
a = -4
Subproblem 2
Set the factor '(1 + 7a)' equal to zero and attempt to solve:

Simplifying
1 + 7a = 0

Solving
1 + 7a = 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 + 7a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7a = 0 + -1
7a = 0 + -1

Combine like terms: 0 + -1 = -1
7a = -1

Divide each side by '7'.
a = -0.1428571429

Simplifying
a = -0.1428571429
Solution
a = {-4, -0.1428571429}