(3x+1)(3x+20)=0

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Solution for (3x+1)(3x+20)=0 equation: 


Simplifying
(3x + 1)(3x + 20) = 0

Reorder the terms:
(1 + 3x)(3x + 20) = 0

Reorder the terms:
(1 + 3x)(20 + 3x) = 0

Multiply (1 + 3x) * (20 + 3x)
(1(20 + 3x) + 3x * (20 + 3x)) = 0
((20 * 1 + 3x * 1) + 3x * (20 + 3x)) = 0
((20 + 3x) + 3x * (20 + 3x)) = 0
(20 + 3x + (20 * 3x + 3x * 3x)) = 0
(20 + 3x + (60x + 9x2)) = 0

Combine like terms: 3x + 60x = 63x
(20 + 63x + 9x2) = 0

Solving
20 + 63x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + 3x)(1 + 3x) = 0


Subproblem 1
Set the factor '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667

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 = {-6.666666667, -0.3333333333}

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