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

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


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

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

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

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

Combine like terms: 9x + -4x = 5x
(-6 + 5x + 6x2) = (3x + 3)(2x + -2)

Reorder the terms:
-6 + 5x + 6x2 = (3 + 3x)(2x + -2)

Reorder the terms:
-6 + 5x + 6x2 = (3 + 3x)(-2 + 2x)

Multiply (3 + 3x) * (-2 + 2x)
-6 + 5x + 6x2 = (3(-2 + 2x) + 3x * (-2 + 2x))
-6 + 5x + 6x2 = ((-2 * 3 + 2x * 3) + 3x * (-2 + 2x))
-6 + 5x + 6x2 = ((-6 + 6x) + 3x * (-2 + 2x))
-6 + 5x + 6x2 = (-6 + 6x + (-2 * 3x + 2x * 3x))
-6 + 5x + 6x2 = (-6 + 6x + (-6x + 6x2))

Combine like terms: 6x + -6x = 0
-6 + 5x + 6x2 = (-6 + 0 + 6x2)
-6 + 5x + 6x2 = (-6 + 6x2)

Add '6' to each side of the equation.
-6 + 5x + 6 + 6x2 = -6 + 6 + 6x2

Reorder the terms:
-6 + 6 + 5x + 6x2 = -6 + 6 + 6x2

Combine like terms: -6 + 6 = 0
0 + 5x + 6x2 = -6 + 6 + 6x2
5x + 6x2 = -6 + 6 + 6x2

Combine like terms: -6 + 6 = 0
5x + 6x2 = 0 + 6x2
5x + 6x2 = 6x2

Add '-6x2' to each side of the equation.
5x + 6x2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5x + 0 = 6x2 + -6x2
5x = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5x = 0

Solving
5x = 0

Solving for variable 'x'.

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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