(x-1)(x+2)(x+3)(x+6)+32x^2=0

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Solution for (x-1)(x+2)(x+3)(x+6)+32x^2=0 equation: 


Simplifying
(x + -1)(x + 2)(x + 3)(x + 6) + 32x2 = 0

Reorder the terms:
(-1 + x)(x + 2)(x + 3)(x + 6) + 32x2 = 0

Reorder the terms:
(-1 + x)(2 + x)(x + 3)(x + 6) + 32x2 = 0

Reorder the terms:
(-1 + x)(2 + x)(3 + x)(x + 6) + 32x2 = 0

Reorder the terms:
(-1 + x)(2 + x)(3 + x)(6 + x) + 32x2 = 0

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))(3 + x)(6 + x) + 32x2 = 0
((2 * -1 + x * -1) + x(2 + x))(3 + x)(6 + x) + 32x2 = 0
((-2 + -1x) + x(2 + x))(3 + x)(6 + x) + 32x2 = 0
(-2 + -1x + (2 * x + x * x))(3 + x)(6 + x) + 32x2 = 0
(-2 + -1x + (2x + x2))(3 + x)(6 + x) + 32x2 = 0

Combine like terms: -1x + 2x = 1x
(-2 + 1x + x2)(3 + x)(6 + x) + 32x2 = 0

Multiply (-2 + 1x + x2) * (3 + x)
(-2(3 + x) + 1x * (3 + x) + x2(3 + x))(6 + x) + 32x2 = 0
((3 * -2 + x * -2) + 1x * (3 + x) + x2(3 + x))(6 + x) + 32x2 = 0
((-6 + -2x) + 1x * (3 + x) + x2(3 + x))(6 + x) + 32x2 = 0
(-6 + -2x + (3 * 1x + x * 1x) + x2(3 + x))(6 + x) + 32x2 = 0
(-6 + -2x + (3x + 1x2) + x2(3 + x))(6 + x) + 32x2 = 0
(-6 + -2x + 3x + 1x2 + (3 * x2 + x * x2))(6 + x) + 32x2 = 0
(-6 + -2x + 3x + 1x2 + (3x2 + x3))(6 + x) + 32x2 = 0

Combine like terms: -2x + 3x = 1x
(-6 + 1x + 1x2 + 3x2 + x3)(6 + x) + 32x2 = 0

Combine like terms: 1x2 + 3x2 = 4x2
(-6 + 1x + 4x2 + x3)(6 + x) + 32x2 = 0

Multiply (-6 + 1x + 4x2 + x3) * (6 + x)
(-6(6 + x) + 1x * (6 + x) + 4x2 * (6 + x) + x3(6 + x)) + 32x2 = 0
((6 * -6 + x * -6) + 1x * (6 + x) + 4x2 * (6 + x) + x3(6 + x)) + 32x2 = 0
((-36 + -6x) + 1x * (6 + x) + 4x2 * (6 + x) + x3(6 + x)) + 32x2 = 0
(-36 + -6x + (6 * 1x + x * 1x) + 4x2 * (6 + x) + x3(6 + x)) + 32x2 = 0
(-36 + -6x + (6x + 1x2) + 4x2 * (6 + x) + x3(6 + x)) + 32x2 = 0
(-36 + -6x + 6x + 1x2 + (6 * 4x2 + x * 4x2) + x3(6 + x)) + 32x2 = 0
(-36 + -6x + 6x + 1x2 + (24x2 + 4x3) + x3(6 + x)) + 32x2 = 0
(-36 + -6x + 6x + 1x2 + 24x2 + 4x3 + (6 * x3 + x * x3)) + 32x2 = 0
(-36 + -6x + 6x + 1x2 + 24x2 + 4x3 + (6x3 + x4)) + 32x2 = 0

Combine like terms: -6x + 6x = 0
(-36 + 0 + 1x2 + 24x2 + 4x3 + 6x3 + x4) + 32x2 = 0
(-36 + 1x2 + 24x2 + 4x3 + 6x3 + x4) + 32x2 = 0

Combine like terms: 1x2 + 24x2 = 25x2
(-36 + 25x2 + 4x3 + 6x3 + x4) + 32x2 = 0

Combine like terms: 4x3 + 6x3 = 10x3
(-36 + 25x2 + 10x3 + x4) + 32x2 = 0

Reorder the terms:
-36 + 25x2 + 32x2 + 10x3 + x4 = 0

Combine like terms: 25x2 + 32x2 = 57x2
-36 + 57x2 + 10x3 + x4 = 0

Solving
-36 + 57x2 + 10x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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