(3x+2)*(3x+2)=81

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Solution for (3x+2)*(3x+2)=81 equation: 


Simplifying
(3x + 2)(3x + 2) = 81

Reorder the terms:
(2 + 3x)(3x + 2) = 81

Reorder the terms:
(2 + 3x)(2 + 3x) = 81

Multiply (2 + 3x) * (2 + 3x)
(2(2 + 3x) + 3x * (2 + 3x)) = 81
((2 * 2 + 3x * 2) + 3x * (2 + 3x)) = 81
((4 + 6x) + 3x * (2 + 3x)) = 81
(4 + 6x + (2 * 3x + 3x * 3x)) = 81
(4 + 6x + (6x + 9x2)) = 81

Combine like terms: 6x + 6x = 12x
(4 + 12x + 9x2) = 81

Solving
4 + 12x + 9x2 = 81

Solving for variable 'x'.

Reorder the terms:
4 + -81 + 12x + 9x2 = 81 + -81

Combine like terms: 4 + -81 = -77
-77 + 12x + 9x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-77 + 12x + 9x2 = 0

Factor a trinomial.
(-11 + -3x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-3.666666667, 2.333333333}

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