(3x+2)(x^2-1)=(9x^2-4)(x+1)

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Solution for (3x+2)(x^2-1)=(9x^2-4)(x+1) equation: 


Simplifying
(3x + 2)(x2 + -1) = (9x2 + -4)(x + 1)

Reorder the terms:
(2 + 3x)(x2 + -1) = (9x2 + -4)(x + 1)

Reorder the terms:
(2 + 3x)(-1 + x2) = (9x2 + -4)(x + 1)

Multiply (2 + 3x) * (-1 + x2)
(2(-1 + x2) + 3x * (-1 + x2)) = (9x2 + -4)(x + 1)
((-1 * 2 + x2 * 2) + 3x * (-1 + x2)) = (9x2 + -4)(x + 1)
((-2 + 2x2) + 3x * (-1 + x2)) = (9x2 + -4)(x + 1)
(-2 + 2x2 + (-1 * 3x + x2 * 3x)) = (9x2 + -4)(x + 1)
(-2 + 2x2 + (-3x + 3x3)) = (9x2 + -4)(x + 1)

Reorder the terms:
(-2 + -3x + 2x2 + 3x3) = (9x2 + -4)(x + 1)
(-2 + -3x + 2x2 + 3x3) = (9x2 + -4)(x + 1)

Reorder the terms:
-2 + -3x + 2x2 + 3x3 = (-4 + 9x2)(x + 1)

Reorder the terms:
-2 + -3x + 2x2 + 3x3 = (-4 + 9x2)(1 + x)

Multiply (-4 + 9x2) * (1 + x)
-2 + -3x + 2x2 + 3x3 = (-4(1 + x) + 9x2 * (1 + x))
-2 + -3x + 2x2 + 3x3 = ((1 * -4 + x * -4) + 9x2 * (1 + x))
-2 + -3x + 2x2 + 3x3 = ((-4 + -4x) + 9x2 * (1 + x))
-2 + -3x + 2x2 + 3x3 = (-4 + -4x + (1 * 9x2 + x * 9x2))
-2 + -3x + 2x2 + 3x3 = (-4 + -4x + (9x2 + 9x3))
-2 + -3x + 2x2 + 3x3 = (-4 + -4x + 9x2 + 9x3)

Solving
-2 + -3x + 2x2 + 3x3 = -4 + -4x + 9x2 + 9x3

Solving for variable 'x'.

Reorder the terms:
-2 + 4 + -3x + 4x + 2x2 + -9x2 + 3x3 + -9x3 = -4 + -4x + 9x2 + 9x3 + 4 + 4x + -9x2 + -9x3

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

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

Combine like terms: 2x2 + -9x2 = -7x2
2 + 1x + -7x2 + 3x3 + -9x3 = -4 + -4x + 9x2 + 9x3 + 4 + 4x + -9x2 + -9x3

Combine like terms: 3x3 + -9x3 = -6x3
2 + 1x + -7x2 + -6x3 = -4 + -4x + 9x2 + 9x3 + 4 + 4x + -9x2 + -9x3

Reorder the terms:
2 + 1x + -7x2 + -6x3 = -4 + 4 + -4x + 4x + 9x2 + -9x2 + 9x3 + -9x3

Combine like terms: -4 + 4 = 0
2 + 1x + -7x2 + -6x3 = 0 + -4x + 4x + 9x2 + -9x2 + 9x3 + -9x3
2 + 1x + -7x2 + -6x3 = -4x + 4x + 9x2 + -9x2 + 9x3 + -9x3

Combine like terms: -4x + 4x = 0
2 + 1x + -7x2 + -6x3 = 0 + 9x2 + -9x2 + 9x3 + -9x3
2 + 1x + -7x2 + -6x3 = 9x2 + -9x2 + 9x3 + -9x3

Combine like terms: 9x2 + -9x2 = 0
2 + 1x + -7x2 + -6x3 = 0 + 9x3 + -9x3
2 + 1x + -7x2 + -6x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
2 + 1x + -7x2 + -6x3 = 0

The solution to this equation could not be determined.

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