(3x+30)(9x+13)=0

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Solution for (3x+30)(9x+13)=0 equation: 


Simplifying
(3x + 30)(9x + 13) = 0

Reorder the terms:
(30 + 3x)(9x + 13) = 0

Reorder the terms:
(30 + 3x)(13 + 9x) = 0

Multiply (30 + 3x) * (13 + 9x)
(30(13 + 9x) + 3x * (13 + 9x)) = 0
((13 * 30 + 9x * 30) + 3x * (13 + 9x)) = 0
((390 + 270x) + 3x * (13 + 9x)) = 0
(390 + 270x + (13 * 3x + 9x * 3x)) = 0
(390 + 270x + (39x + 27x2)) = 0

Combine like terms: 270x + 39x = 309x
(390 + 309x + 27x2) = 0

Solving
390 + 309x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(130 + 103x + 9x2) = 0

Factor a trinomial.
3((10 + x)(13 + 9x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(13 + 9x)' equal to zero and attempt to solve:

Simplifying
13 + 9x = 0

Solving
13 + 9x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 9x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 0 + -13
9x = 0 + -13

Combine like terms: 0 + -13 = -13
9x = -13

Divide each side by '9'.
x = -1.444444444

Simplifying
x = -1.444444444
Solution
x = {-10, -1.444444444}

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