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

Solution for 3(1-3x)(3+2x)=0 equation:

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

Multiply (1 + -3x) * (3 + 2x)
3(1(3 + 2x) + -3x * (3 + 2x)) = 0
3((3 * 1 + 2x * 1) + -3x * (3 + 2x)) = 0
3((3 + 2x) + -3x * (3 + 2x)) = 0
3(3 + 2x + (3 * -3x + 2x * -3x)) = 0
3(3 + 2x + (-9x + -6x2)) = 0

Combine like terms: 2x + -9x = -7x
3(3 + -7x + -6x2) = 0
(3 * 3 + -7x * 3 + -6x2 * 3) = 0
(9 + -21x + -18x2) = 0

Solving
9 + -21x + -18x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
3((1 + -3x)(3 + 2x)) = 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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.3333333333, -1.5}