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

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Solution for 4(x+1)(x+2)(x+3)(x+6)=-3x^2 equation: 


Simplifying
4(x + 1)(x + 2)(x + 3)(x + 6) = -3x2

Reorder the terms:
4(1 + x)(x + 2)(x + 3)(x + 6) = -3x2

Reorder the terms:
4(1 + x)(2 + x)(x + 3)(x + 6) = -3x2

Reorder the terms:
4(1 + x)(2 + x)(3 + x)(x + 6) = -3x2

Reorder the terms:
4(1 + x)(2 + x)(3 + x)(6 + x) = -3x2

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

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

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

Combine like terms: 2x + 9x = 11x
4(6 + 11x + 3x2 + 3x2 + x3)(6 + x) = -3x2

Combine like terms: 3x2 + 3x2 = 6x2
4(6 + 11x + 6x2 + x3)(6 + x) = -3x2

Multiply (6 + 11x + 6x2 + x3) * (6 + x)
4(6(6 + x) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = -3x2
4((6 * 6 + x * 6) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = -3x2
4((36 + 6x) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = -3x2
4(36 + 6x + (6 * 11x + x * 11x) + 6x2 * (6 + x) + x3(6 + x)) = -3x2
4(36 + 6x + (66x + 11x2) + 6x2 * (6 + x) + x3(6 + x)) = -3x2
4(36 + 6x + 66x + 11x2 + (6 * 6x2 + x * 6x2) + x3(6 + x)) = -3x2
4(36 + 6x + 66x + 11x2 + (36x2 + 6x3) + x3(6 + x)) = -3x2
4(36 + 6x + 66x + 11x2 + 36x2 + 6x3 + (6 * x3 + x * x3)) = -3x2
4(36 + 6x + 66x + 11x2 + 36x2 + 6x3 + (6x3 + x4)) = -3x2

Combine like terms: 6x + 66x = 72x
4(36 + 72x + 11x2 + 36x2 + 6x3 + 6x3 + x4) = -3x2

Combine like terms: 11x2 + 36x2 = 47x2
4(36 + 72x + 47x2 + 6x3 + 6x3 + x4) = -3x2

Combine like terms: 6x3 + 6x3 = 12x3
4(36 + 72x + 47x2 + 12x3 + x4) = -3x2
(36 * 4 + 72x * 4 + 47x2 * 4 + 12x3 * 4 + x4 * 4) = -3x2
(144 + 288x + 188x2 + 48x3 + 4x4) = -3x2

Solving
144 + 288x + 188x2 + 48x3 + 4x4 = -3x2

Solving for variable 'x'.

Reorder the terms:
144 + 288x + 188x2 + 3x2 + 48x3 + 4x4 = -3x2 + 3x2

Combine like terms: 188x2 + 3x2 = 191x2
144 + 288x + 191x2 + 48x3 + 4x4 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
144 + 288x + 191x2 + 48x3 + 4x4 = 0

The solution to this equation could not be determined.

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