(x^2+3x+4)*(x^2+7x+12)=24

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Solution for (x^2+3x+4)*(x^2+7x+12)=24 equation: 


Simplifying
(x2 + 3x + 4)(x2 + 7x + 12) = 24

Reorder the terms:
(4 + 3x + x2)(x2 + 7x + 12) = 24

Reorder the terms:
(4 + 3x + x2)(12 + 7x + x2) = 24

Multiply (4 + 3x + x2) * (12 + 7x + x2)
(4(12 + 7x + x2) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) = 24
((12 * 4 + 7x * 4 + x2 * 4) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) = 24
((48 + 28x + 4x2) + 3x * (12 + 7x + x2) + x2(12 + 7x + x2)) = 24
(48 + 28x + 4x2 + (12 * 3x + 7x * 3x + x2 * 3x) + x2(12 + 7x + x2)) = 24
(48 + 28x + 4x2 + (36x + 21x2 + 3x3) + x2(12 + 7x + x2)) = 24
(48 + 28x + 4x2 + 36x + 21x2 + 3x3 + (12 * x2 + 7x * x2 + x2 * x2)) = 24
(48 + 28x + 4x2 + 36x + 21x2 + 3x3 + (12x2 + 7x3 + x4)) = 24

Reorder the terms:
(48 + 28x + 36x + 4x2 + 21x2 + 12x2 + 3x3 + 7x3 + x4) = 24

Combine like terms: 28x + 36x = 64x
(48 + 64x + 4x2 + 21x2 + 12x2 + 3x3 + 7x3 + x4) = 24

Combine like terms: 4x2 + 21x2 = 25x2
(48 + 64x + 25x2 + 12x2 + 3x3 + 7x3 + x4) = 24

Combine like terms: 25x2 + 12x2 = 37x2
(48 + 64x + 37x2 + 3x3 + 7x3 + x4) = 24

Combine like terms: 3x3 + 7x3 = 10x3
(48 + 64x + 37x2 + 10x3 + x4) = 24

Solving
48 + 64x + 37x2 + 10x3 + x4 = 24

Solving for variable 'x'.

Reorder the terms:
48 + -24 + 64x + 37x2 + 10x3 + x4 = 24 + -24

Combine like terms: 48 + -24 = 24
24 + 64x + 37x2 + 10x3 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
24 + 64x + 37x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

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