6a^2+34a+30=10

Solution for 6a^2+34a+30=10 equation:

Simplifying
6a2 + 34a + 30 = 10

Reorder the terms:
30 + 34a + 6a2 = 10

Solving
30 + 34a + 6a2 = 10

Solving for variable 'a'.

Reorder the terms:
30 + -10 + 34a + 6a2 = 10 + -10

Combine like terms: 30 + -10 = 20
20 + 34a + 6a2 = 10 + -10

Combine like terms: 10 + -10 = 0
20 + 34a + 6a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 17a + 3a2) = 0

Factor a trinomial.
2((5 + a)(2 + 3a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

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

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

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

Simplifying
a = -5
Subproblem 2
Set the factor '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 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 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Solution
a = {-5, -0.6666666667}