30x^2+207x+162=0

Solution for 30x^2+207x+162=0 equation:

Simplifying
30x2 + 207x + 162 = 0

Reorder the terms:
162 + 207x + 30x2 = 0

Solving
162 + 207x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(54 + 69x + 10x2) = 0

Factor a trinomial.
3((6 + x)(9 + 10x)) = 0

Ignore the factor 3.
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 '(9 + 10x)' equal to zero and attempt to solve:

Simplifying
9 + 10x = 0

Solving
9 + 10x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 10x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10x = 0 + -9
10x = 0 + -9

Combine like terms: 0 + -9 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9
Solution
x = {-6, -0.9}