3(x-1)(x+2)-2x(x-1)(x+3)=0

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Solution for 3(x-1)(x+2)-2x(x-1)(x+3)=0 equation:


Simplifying
3(x + -1)(x + 2) + -2x(x + -1)(x + 3) = 0

Reorder the terms:
3(-1 + x)(x + 2) + -2x(x + -1)(x + 3) = 0

Reorder the terms:
3(-1 + x)(2 + x) + -2x(x + -1)(x + 3) = 0

Multiply (-1 + x) * (2 + x)
3(-1(2 + x) + x(2 + x)) + -2x(x + -1)(x + 3) = 0
3((2 * -1 + x * -1) + x(2 + x)) + -2x(x + -1)(x + 3) = 0
3((-2 + -1x) + x(2 + x)) + -2x(x + -1)(x + 3) = 0
3(-2 + -1x + (2 * x + x * x)) + -2x(x + -1)(x + 3) = 0
3(-2 + -1x + (2x + x2)) + -2x(x + -1)(x + 3) = 0

Combine like terms: -1x + 2x = 1x
3(-2 + 1x + x2) + -2x(x + -1)(x + 3) = 0
(-2 * 3 + 1x * 3 + x2 * 3) + -2x(x + -1)(x + 3) = 0
(-6 + 3x + 3x2) + -2x(x + -1)(x + 3) = 0

Reorder the terms:
-6 + 3x + 3x2 + -2x(-1 + x)(x + 3) = 0

Reorder the terms:
-6 + 3x + 3x2 + -2x(-1 + x)(3 + x) = 0

Multiply (-1 + x) * (3 + x)
-6 + 3x + 3x2 + -2x(-1(3 + x) + x(3 + x)) = 0
-6 + 3x + 3x2 + -2x((3 * -1 + x * -1) + x(3 + x)) = 0
-6 + 3x + 3x2 + -2x((-3 + -1x) + x(3 + x)) = 0
-6 + 3x + 3x2 + -2x(-3 + -1x + (3 * x + x * x)) = 0
-6 + 3x + 3x2 + -2x(-3 + -1x + (3x + x2)) = 0

Combine like terms: -1x + 3x = 2x
-6 + 3x + 3x2 + -2x(-3 + 2x + x2) = 0
-6 + 3x + 3x2 + (-3 * -2x + 2x * -2x + x2 * -2x) = 0
-6 + 3x + 3x2 + (6x + -4x2 + -2x3) = 0

Reorder the terms:
-6 + 3x + 6x + 3x2 + -4x2 + -2x3 = 0

Combine like terms: 3x + 6x = 9x
-6 + 9x + 3x2 + -4x2 + -2x3 = 0

Combine like terms: 3x2 + -4x2 = -1x2
-6 + 9x + -1x2 + -2x3 = 0

Solving
-6 + 9x + -1x2 + -2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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