(X+9)(3X-1)=0

Solution for (X+9)(3X-1)=0 equation:

Simplifying
(X + 9)(3X + -1) = 0

Reorder the terms:
(9 + X)(3X + -1) = 0

Reorder the terms:
(9 + X)(-1 + 3X) = 0

Multiply (9 + X) * (-1 + 3X)
(9(-1 + 3X) + X(-1 + 3X)) = 0
((-1 * 9 + 3X * 9) + X(-1 + 3X)) = 0
((-9 + 27X) + X(-1 + 3X)) = 0
(-9 + 27X + (-1 * X + 3X * X)) = 0
(-9 + 27X + (-1X + 3X2)) = 0

Combine like terms: 27X + -1X = 26X
(-9 + 26X + 3X2) = 0

Solving
-9 + 26X + 3X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-9 + -1X)(1 + -3X) = 0

Subproblem 1
Set the factor '(-9 + -1X)' equal to zero and attempt to solve:

Simplifying
-9 + -1X = 0

Solving
-9 + -1X = 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 + -1X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1X = 0 + 9
-1X = 0 + 9

Combine like terms: 0 + 9 = 9
-1X = 9

Divide each side by '-1'.
X = -9

Simplifying
X = -9
Subproblem 2
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
Solution
X = {-9, 0.3333333333}