(3x-1)(3x+3)=(3x+2)(3x-2)

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Solution for (3x-1)(3x+3)=(3x+2)(3x-2) equation: 


Simplifying
(3x + -1)(3x + 3) = (3x + 2)(3x + -2)

Reorder the terms:
(-1 + 3x)(3x + 3) = (3x + 2)(3x + -2)

Reorder the terms:
(-1 + 3x)(3 + 3x) = (3x + 2)(3x + -2)

Multiply (-1 + 3x) * (3 + 3x)
(-1(3 + 3x) + 3x * (3 + 3x)) = (3x + 2)(3x + -2)
((3 * -1 + 3x * -1) + 3x * (3 + 3x)) = (3x + 2)(3x + -2)
((-3 + -3x) + 3x * (3 + 3x)) = (3x + 2)(3x + -2)
(-3 + -3x + (3 * 3x + 3x * 3x)) = (3x + 2)(3x + -2)
(-3 + -3x + (9x + 9x2)) = (3x + 2)(3x + -2)

Combine like terms: -3x + 9x = 6x
(-3 + 6x + 9x2) = (3x + 2)(3x + -2)

Reorder the terms:
-3 + 6x + 9x2 = (2 + 3x)(3x + -2)

Reorder the terms:
-3 + 6x + 9x2 = (2 + 3x)(-2 + 3x)

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

Combine like terms: 6x + -6x = 0
-3 + 6x + 9x2 = (-4 + 0 + 9x2)
-3 + 6x + 9x2 = (-4 + 9x2)

Add '-9x2' to each side of the equation.
-3 + 6x + 9x2 + -9x2 = -4 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-3 + 6x + 0 = -4 + 9x2 + -9x2
-3 + 6x = -4 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-3 + 6x = -4 + 0
-3 + 6x = -4

Solving
-3 + 6x = -4

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -4 + 3
6x = -4 + 3

Combine like terms: -4 + 3 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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