(3X+2)(3X+2)=9

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Solution for (3X+2)(3X+2)=9 equation: 


Simplifying
(3X + 2)(3X + 2) = 9

Reorder the terms:
(2 + 3X)(3X + 2) = 9

Reorder the terms:
(2 + 3X)(2 + 3X) = 9

Multiply (2 + 3X) * (2 + 3X)
(2(2 + 3X) + 3X * (2 + 3X)) = 9
((2 * 2 + 3X * 2) + 3X * (2 + 3X)) = 9
((4 + 6X) + 3X * (2 + 3X)) = 9
(4 + 6X + (2 * 3X + 3X * 3X)) = 9
(4 + 6X + (6X + 9X2)) = 9

Combine like terms: 6X + 6X = 12X
(4 + 12X + 9X2) = 9

Solving
4 + 12X + 9X2 = 9

Solving for variable 'X'.

Reorder the terms:
4 + -9 + 12X + 9X2 = 9 + -9

Combine like terms: 4 + -9 = -5
-5 + 12X + 9X2 = 9 + -9

Combine like terms: 9 + -9 = 0
-5 + 12X + 9X2 = 0

Factor a trinomial.
(-5 + -3X)(1 + -3X) = 0


Subproblem 1
Set the factor '(-5 + -3X)' equal to zero and attempt to solve:

Simplifying
-5 + -3X = 0

Solving
-5 + -3X = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3X = 0 + 5
-3X = 0 + 5

Combine like terms: 0 + 5 = 5
-3X = 5

Divide each side by '-3'.
X = -1.666666667

Simplifying
X = -1.666666667

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 = {-1.666666667, 0.3333333333}

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