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

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


Simplifying
(3x2 + 2x + 1)(2x2 + x) = 2(x3 + 9x2 + -1)

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

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

Multiply (1 + 2x + 3x2) * (x + 2x2)
(1(x + 2x2) + 2x * (x + 2x2) + 3x2 * (x + 2x2)) = 2(x3 + 9x2 + -1)
((x * 1 + 2x2 * 1) + 2x * (x + 2x2) + 3x2 * (x + 2x2)) = 2(x3 + 9x2 + -1)
((1x + 2x2) + 2x * (x + 2x2) + 3x2 * (x + 2x2)) = 2(x3 + 9x2 + -1)
(1x + 2x2 + (x * 2x + 2x2 * 2x) + 3x2 * (x + 2x2)) = 2(x3 + 9x2 + -1)
(1x + 2x2 + (2x2 + 4x3) + 3x2 * (x + 2x2)) = 2(x3 + 9x2 + -1)
(1x + 2x2 + 2x2 + 4x3 + (x * 3x2 + 2x2 * 3x2)) = 2(x3 + 9x2 + -1)
(1x + 2x2 + 2x2 + 4x3 + (3x3 + 6x4)) = 2(x3 + 9x2 + -1)

Combine like terms: 2x2 + 2x2 = 4x2
(1x + 4x2 + 4x3 + 3x3 + 6x4) = 2(x3 + 9x2 + -1)

Combine like terms: 4x3 + 3x3 = 7x3
(1x + 4x2 + 7x3 + 6x4) = 2(x3 + 9x2 + -1)

Reorder the terms:
1x + 4x2 + 7x3 + 6x4 = 2(-1 + 9x2 + x3)
1x + 4x2 + 7x3 + 6x4 = (-1 * 2 + 9x2 * 2 + x3 * 2)
1x + 4x2 + 7x3 + 6x4 = (-2 + 18x2 + 2x3)

Solving
1x + 4x2 + 7x3 + 6x4 = -2 + 18x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
2 + 1x + 4x2 + -18x2 + 7x3 + -2x3 + 6x4 = -2 + 18x2 + 2x3 + 2 + -18x2 + -2x3

Combine like terms: 4x2 + -18x2 = -14x2
2 + 1x + -14x2 + 7x3 + -2x3 + 6x4 = -2 + 18x2 + 2x3 + 2 + -18x2 + -2x3

Combine like terms: 7x3 + -2x3 = 5x3
2 + 1x + -14x2 + 5x3 + 6x4 = -2 + 18x2 + 2x3 + 2 + -18x2 + -2x3

Reorder the terms:
2 + 1x + -14x2 + 5x3 + 6x4 = -2 + 2 + 18x2 + -18x2 + 2x3 + -2x3

Combine like terms: -2 + 2 = 0
2 + 1x + -14x2 + 5x3 + 6x4 = 0 + 18x2 + -18x2 + 2x3 + -2x3
2 + 1x + -14x2 + 5x3 + 6x4 = 18x2 + -18x2 + 2x3 + -2x3

Combine like terms: 18x2 + -18x2 = 0
2 + 1x + -14x2 + 5x3 + 6x4 = 0 + 2x3 + -2x3
2 + 1x + -14x2 + 5x3 + 6x4 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
2 + 1x + -14x2 + 5x3 + 6x4 = 0

The solution to this equation could not be determined.

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