(3X+1)(3X-1)=27

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Solution for (3X+1)(3X-1)=27 equation: 


Simplifying
(3X + 1)(3X + -1) = 27

Reorder the terms:
(1 + 3X)(3X + -1) = 27

Reorder the terms:
(1 + 3X)(-1 + 3X) = 27

Multiply (1 + 3X) * (-1 + 3X)
(1(-1 + 3X) + 3X * (-1 + 3X)) = 27
((-1 * 1 + 3X * 1) + 3X * (-1 + 3X)) = 27
((-1 + 3X) + 3X * (-1 + 3X)) = 27
(-1 + 3X + (-1 * 3X + 3X * 3X)) = 27
(-1 + 3X + (-3X + 9X2)) = 27

Combine like terms: 3X + -3X = 0
(-1 + 0 + 9X2) = 27
(-1 + 9X2) = 27

Solving
-1 + 9X2 = 27

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + 9X2 = 27 + 1

Combine like terms: -1 + 1 = 0
0 + 9X2 = 27 + 1
9X2 = 27 + 1

Combine like terms: 27 + 1 = 28
9X2 = 28

Divide each side by '9'.
X2 = 3.111111111

Simplifying
X2 = 3.111111111

Take the square root of each side:
X = {-1.763834207, 1.763834207}

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