30x^2+111x+63=0

Solution for 30x^2+111x+63=0 equation:

Simplifying
30x2 + 111x + 63 = 0

Reorder the terms:
63 + 111x + 30x2 = 0

Solving
63 + 111x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + 37x + 10x2) = 0

Factor a trinomial.
3((3 + x)(7 + 10x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Subproblem 2
Set the factor '(7 + 10x)' equal to zero and attempt to solve:

Simplifying
7 + 10x = 0

Solving
7 + 10x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 0 + -7
10x = 0 + -7

Combine like terms: 0 + -7 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7
Solution
x = {-3, -0.7}