(x^2+3x+1)(3x^2-5x+6)=

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Solution for (x^2+3x+1)(3x^2-5x+6)= equation:


Simplifying
(x2 + 3x + 1)(3x2 + -5x + 6) = 0

Reorder the terms:
(1 + 3x + x2)(3x2 + -5x + 6) = 0

Reorder the terms:
(1 + 3x + x2)(6 + -5x + 3x2) = 0

Multiply (1 + 3x + x2) * (6 + -5x + 3x2)
(1(6 + -5x + 3x2) + 3x * (6 + -5x + 3x2) + x2(6 + -5x + 3x2)) = 0
((6 * 1 + -5x * 1 + 3x2 * 1) + 3x * (6 + -5x + 3x2) + x2(6 + -5x + 3x2)) = 0
((6 + -5x + 3x2) + 3x * (6 + -5x + 3x2) + x2(6 + -5x + 3x2)) = 0
(6 + -5x + 3x2 + (6 * 3x + -5x * 3x + 3x2 * 3x) + x2(6 + -5x + 3x2)) = 0
(6 + -5x + 3x2 + (18x + -15x2 + 9x3) + x2(6 + -5x + 3x2)) = 0
(6 + -5x + 3x2 + 18x + -15x2 + 9x3 + (6 * x2 + -5x * x2 + 3x2 * x2)) = 0
(6 + -5x + 3x2 + 18x + -15x2 + 9x3 + (6x2 + -5x3 + 3x4)) = 0

Reorder the terms:
(6 + -5x + 18x + 3x2 + -15x2 + 6x2 + 9x3 + -5x3 + 3x4) = 0

Combine like terms: -5x + 18x = 13x
(6 + 13x + 3x2 + -15x2 + 6x2 + 9x3 + -5x3 + 3x4) = 0

Combine like terms: 3x2 + -15x2 = -12x2
(6 + 13x + -12x2 + 6x2 + 9x3 + -5x3 + 3x4) = 0

Combine like terms: -12x2 + 6x2 = -6x2
(6 + 13x + -6x2 + 9x3 + -5x3 + 3x4) = 0

Combine like terms: 9x3 + -5x3 = 4x3
(6 + 13x + -6x2 + 4x3 + 3x4) = 0

Solving
6 + 13x + -6x2 + 4x3 + 3x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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