(3x-2)(3x+2)=4(x+1)(x-1)

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Solution for (3x-2)(3x+2)=4(x+1)(x-1) equation: 


Simplifying
(3x + -2)(3x + 2) = 4(x + 1)(x + -1)

Reorder the terms:
(-2 + 3x)(3x + 2) = 4(x + 1)(x + -1)

Reorder the terms:
(-2 + 3x)(2 + 3x) = 4(x + 1)(x + -1)

Multiply (-2 + 3x) * (2 + 3x)
(-2(2 + 3x) + 3x * (2 + 3x)) = 4(x + 1)(x + -1)
((2 * -2 + 3x * -2) + 3x * (2 + 3x)) = 4(x + 1)(x + -1)
((-4 + -6x) + 3x * (2 + 3x)) = 4(x + 1)(x + -1)
(-4 + -6x + (2 * 3x + 3x * 3x)) = 4(x + 1)(x + -1)
(-4 + -6x + (6x + 9x2)) = 4(x + 1)(x + -1)

Combine like terms: -6x + 6x = 0
(-4 + 0 + 9x2) = 4(x + 1)(x + -1)
(-4 + 9x2) = 4(x + 1)(x + -1)

Reorder the terms:
-4 + 9x2 = 4(1 + x)(x + -1)

Reorder the terms:
-4 + 9x2 = 4(1 + x)(-1 + x)

Multiply (1 + x) * (-1 + x)
-4 + 9x2 = 4(1(-1 + x) + x(-1 + x))
-4 + 9x2 = 4((-1 * 1 + x * 1) + x(-1 + x))
-4 + 9x2 = 4((-1 + 1x) + x(-1 + x))
-4 + 9x2 = 4(-1 + 1x + (-1 * x + x * x))
-4 + 9x2 = 4(-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
-4 + 9x2 = 4(-1 + 0 + x2)
-4 + 9x2 = 4(-1 + x2)
-4 + 9x2 = (-1 * 4 + x2 * 4)
-4 + 9x2 = (-4 + 4x2)

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

Combine like terms: -4 + 4 = 0
0 + 9x2 = -4 + 4 + 4x2
9x2 = -4 + 4 + 4x2

Combine like terms: -4 + 4 = 0
9x2 = 0 + 4x2
9x2 = 4x2

Solving
9x2 = 4x2

Solving for variable 'x'.

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

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

Combine like terms: 9x2 + -4x2 = 5x2
5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
5x2 = 0

Divide each side by '5'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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