18x^2+21x=-6

Solution for 18x^2+21x=-6 equation:

Simplifying
18x2 + 21x = -6

Reorder the terms:
21x + 18x2 = -6

Solving
21x + 18x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + 21x + 18x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 21x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 7x + 6x2) = 0

Factor a trinomial.
3((2 + 3x)(1 + 2x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-0.6666666667, -0.5}