(x+9)(3x+2)=0

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Solution for (x+9)(3x+2)=0 equation: 


Simplifying
(x + 9)(3x + 2) = 0

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

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

Multiply (9 + x) * (2 + 3x)
(9(2 + 3x) + x(2 + 3x)) = 0
((2 * 9 + 3x * 9) + x(2 + 3x)) = 0
((18 + 27x) + x(2 + 3x)) = 0
(18 + 27x + (2 * x + 3x * x)) = 0
(18 + 27x + (2x + 3x2)) = 0

Combine like terms: 27x + 2x = 29x
(18 + 29x + 3x2) = 0

Solving
18 + 29x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, -0.6666666667}

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