(x^2+3x+2)(x^2+3x+4)=48

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Solution for (x^2+3x+2)(x^2+3x+4)=48 equation:


Simplifying
(x2 + 3x + 2)(x2 + 3x + 4) = 48

Reorder the terms:
(2 + 3x + x2)(x2 + 3x + 4) = 48

Reorder the terms:
(2 + 3x + x2)(4 + 3x + x2) = 48

Multiply (2 + 3x + x2) * (4 + 3x + x2)
(2(4 + 3x + x2) + 3x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 48
((4 * 2 + 3x * 2 + x2 * 2) + 3x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 48
((8 + 6x + 2x2) + 3x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 48
(8 + 6x + 2x2 + (4 * 3x + 3x * 3x + x2 * 3x) + x2(4 + 3x + x2)) = 48
(8 + 6x + 2x2 + (12x + 9x2 + 3x3) + x2(4 + 3x + x2)) = 48
(8 + 6x + 2x2 + 12x + 9x2 + 3x3 + (4 * x2 + 3x * x2 + x2 * x2)) = 48
(8 + 6x + 2x2 + 12x + 9x2 + 3x3 + (4x2 + 3x3 + x4)) = 48

Reorder the terms:
(8 + 6x + 12x + 2x2 + 9x2 + 4x2 + 3x3 + 3x3 + x4) = 48

Combine like terms: 6x + 12x = 18x
(8 + 18x + 2x2 + 9x2 + 4x2 + 3x3 + 3x3 + x4) = 48

Combine like terms: 2x2 + 9x2 = 11x2
(8 + 18x + 11x2 + 4x2 + 3x3 + 3x3 + x4) = 48

Combine like terms: 11x2 + 4x2 = 15x2
(8 + 18x + 15x2 + 3x3 + 3x3 + x4) = 48

Combine like terms: 3x3 + 3x3 = 6x3
(8 + 18x + 15x2 + 6x3 + x4) = 48

Solving
8 + 18x + 15x2 + 6x3 + x4 = 48

Solving for variable 'x'.

Reorder the terms:
8 + -48 + 18x + 15x2 + 6x3 + x4 = 48 + -48

Combine like terms: 8 + -48 = -40
-40 + 18x + 15x2 + 6x3 + x4 = 48 + -48

Combine like terms: 48 + -48 = 0
-40 + 18x + 15x2 + 6x3 + x4 = 0

The solution to this equation could not be determined.

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