30a^2+121a-21=0

Solution for 30a^2+121a-21=0 equation:

Simplifying
30a2 + 121a + -21 = 0

Reorder the terms:
-21 + 121a + 30a2 = 0

Solving
-21 + 121a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-21 + -5a)(1 + -6a) = 0

Subproblem 1
Set the factor '(-21 + -5a)' equal to zero and attempt to solve:

Simplifying
-21 + -5a = 0

Solving
-21 + -5a = 0

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

Add '21' to each side of the equation.
-21 + 21 + -5a = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -5a = 0 + 21
-5a = 0 + 21

Combine like terms: 0 + 21 = 21
-5a = 21

Divide each side by '-5'.
a = -4.2

Simplifying
a = -4.2
Subproblem 2
Set the factor '(1 + -6a)' equal to zero and attempt to solve:

Simplifying
1 + -6a = 0

Solving
1 + -6a = 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 + -6a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6a = 0 + -1
-6a = 0 + -1

Combine like terms: 0 + -1 = -1
-6a = -1

Divide each side by '-6'.
a = 0.1666666667

Simplifying
a = 0.1666666667
Solution
a = {-4.2, 0.1666666667}