=3(x+2)(3x+-1)

Solution for =3(x+2)(3x+-1) equation:

Simplifying
0 = 3(x + 2)(3x + -1)

Reorder the terms:
0 = 3(2 + x)(3x + -1)

Reorder the terms:
0 = 3(2 + x)(-1 + 3x)

Multiply (2 + x) * (-1 + 3x)
0 = 3(2(-1 + 3x) + x(-1 + 3x))
0 = 3((-1 * 2 + 3x * 2) + x(-1 + 3x))
0 = 3((-2 + 6x) + x(-1 + 3x))
0 = 3(-2 + 6x + (-1 * x + 3x * x))
0 = 3(-2 + 6x + (-1x + 3x2))

Combine like terms: 6x + -1x = 5x
0 = 3(-2 + 5x + 3x2)
0 = (-2 * 3 + 5x * 3 + 3x2 * 3)
0 = (-6 + 15x + 9x2)

Solving
0 = -6 + 15x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -15x + -9x2 = -6 + 15x + 9x2 + 6 + -15x + -9x2

Reorder the terms:
6 + -15x + -9x2 = -6 + 6 + 15x + -15x + 9x2 + -9x2

Combine like terms: -6 + 6 = 0
6 + -15x + -9x2 = 0 + 15x + -15x + 9x2 + -9x2
6 + -15x + -9x2 = 15x + -15x + 9x2 + -9x2

Combine like terms: 15x + -15x = 0
6 + -15x + -9x2 = 0 + 9x2 + -9x2
6 + -15x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
6 + -15x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -5x + -3x2) = 0

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

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {0.3333333333, -2}