30x^2+73x+21=0

Solution for 30x^2+73x+21=0 equation:

Simplifying
30x2 + 73x + 21 = 0

Reorder the terms:
21 + 73x + 30x2 = 0

Solving
21 + 73x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(21 + 10x)(1 + 3x) = 0

Subproblem 1
Set the factor '(21 + 10x)' equal to zero and attempt to solve:

Simplifying
21 + 10x = 0

Solving
21 + 10x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 10x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 10x = 0 + -21
10x = 0 + -21

Combine like terms: 0 + -21 = -21
10x = -21

Divide each side by '10'.
x = -2.1

Simplifying
x = -2.1
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-2.1, -0.3333333333}