3a^2+10a+3=-4

Solution for 3a^2+10a+3=-4 equation:

Simplifying
3a2 + 10a + 3 = -4

Reorder the terms:
3 + 10a + 3a2 = -4

Solving
3 + 10a + 3a2 = -4

Solving for variable 'a'.

Reorder the terms:
3 + 4 + 10a + 3a2 = -4 + 4

Combine like terms: 3 + 4 = 7
7 + 10a + 3a2 = -4 + 4

Combine like terms: -4 + 4 = 0
7 + 10a + 3a2 = 0

Factor a trinomial.
(7 + 3a)(1 + a) = 0

Subproblem 1
Set the factor '(7 + 3a)' equal to zero and attempt to solve:

Simplifying
7 + 3a = 0

Solving
7 + 3a = 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 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333
Subproblem 2
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
Solution
a = {-2.333333333, -1}