(3x+8)(3x+2)=520

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Solution for (3x+8)(3x+2)=520 equation: 


Simplifying
(3x + 8)(3x + 2) = 520

Reorder the terms:
(8 + 3x)(3x + 2) = 520

Reorder the terms:
(8 + 3x)(2 + 3x) = 520

Multiply (8 + 3x) * (2 + 3x)
(8(2 + 3x) + 3x * (2 + 3x)) = 520
((2 * 8 + 3x * 8) + 3x * (2 + 3x)) = 520
((16 + 24x) + 3x * (2 + 3x)) = 520
(16 + 24x + (2 * 3x + 3x * 3x)) = 520
(16 + 24x + (6x + 9x2)) = 520

Combine like terms: 24x + 6x = 30x
(16 + 30x + 9x2) = 520

Solving
16 + 30x + 9x2 = 520

Solving for variable 'x'.

Reorder the terms:
16 + -520 + 30x + 9x2 = 520 + -520

Combine like terms: 16 + -520 = -504
-504 + 30x + 9x2 = 520 + -520

Combine like terms: 520 + -520 = 0
-504 + 30x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-168 + 10x + 3x2) = 0

Factor a trinomial.
3((-28 + -3x)(6 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-28 + -3x)' equal to zero and attempt to solve:

Simplifying
-28 + -3x = 0

Solving
-28 + -3x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -3x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = 0 + 28
-3x = 0 + 28

Combine like terms: 0 + 28 = 28
-3x = 28

Divide each side by '-3'.
x = -9.333333333

Simplifying
x = -9.333333333

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-9.333333333, 6}

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