12x^2+77x+30=0

Solution for 12x^2+77x+30=0 equation:

Simplifying
12x2 + 77x + 30 = 0

Reorder the terms:
30 + 77x + 12x2 = 0

Solving
30 + 77x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(5 + 12x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(5 + 12x)' equal to zero and attempt to solve:

Simplifying
5 + 12x = 0

Solving
5 + 12x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 12x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 0 + -5
12x = 0 + -5

Combine like terms: 0 + -5 = -5
12x = -5

Divide each side by '12'.
x = -0.4166666667

Simplifying
x = -0.4166666667
Solution
x = {-6, -0.4166666667}