(x-1)(x+2)(x+3)(x+4)(x+5)=40

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Solution for (x-1)(x+2)(x+3)(x+4)(x+5)=40 equation: 


Simplifying
(x + -1)(x + 2)(x + 3)(x + 4)(x + 5) = 40

Reorder the terms:
(-1 + x)(x + 2)(x + 3)(x + 4)(x + 5) = 40

Reorder the terms:
(-1 + x)(2 + x)(x + 3)(x + 4)(x + 5) = 40

Reorder the terms:
(-1 + x)(2 + x)(3 + x)(x + 4)(x + 5) = 40

Reorder the terms:
(-1 + x)(2 + x)(3 + x)(4 + x)(x + 5) = 40

Reorder the terms:
(-1 + x)(2 + x)(3 + x)(4 + x)(5 + x) = 40

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))(3 + x)(4 + x)(5 + x) = 40
((2 * -1 + x * -1) + x(2 + x))(3 + x)(4 + x)(5 + x) = 40
((-2 + -1x) + x(2 + x))(3 + x)(4 + x)(5 + x) = 40
(-2 + -1x + (2 * x + x * x))(3 + x)(4 + x)(5 + x) = 40
(-2 + -1x + (2x + x2))(3 + x)(4 + x)(5 + x) = 40

Combine like terms: -1x + 2x = 1x
(-2 + 1x + x2)(3 + x)(4 + x)(5 + x) = 40

Multiply (-2 + 1x + x2) * (3 + x)
(-2(3 + x) + 1x * (3 + x) + x2(3 + x))(4 + x)(5 + x) = 40
((3 * -2 + x * -2) + 1x * (3 + x) + x2(3 + x))(4 + x)(5 + x) = 40
((-6 + -2x) + 1x * (3 + x) + x2(3 + x))(4 + x)(5 + x) = 40
(-6 + -2x + (3 * 1x + x * 1x) + x2(3 + x))(4 + x)(5 + x) = 40
(-6 + -2x + (3x + 1x2) + x2(3 + x))(4 + x)(5 + x) = 40
(-6 + -2x + 3x + 1x2 + (3 * x2 + x * x2))(4 + x)(5 + x) = 40
(-6 + -2x + 3x + 1x2 + (3x2 + x3))(4 + x)(5 + x) = 40

Combine like terms: -2x + 3x = 1x
(-6 + 1x + 1x2 + 3x2 + x3)(4 + x)(5 + x) = 40

Combine like terms: 1x2 + 3x2 = 4x2
(-6 + 1x + 4x2 + x3)(4 + x)(5 + x) = 40

Multiply (-6 + 1x + 4x2 + x3) * (4 + x)
(-6(4 + x) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x))(5 + x) = 40
((4 * -6 + x * -6) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x))(5 + x) = 40
((-24 + -6x) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x))(5 + x) = 40
(-24 + -6x + (4 * 1x + x * 1x) + 4x2 * (4 + x) + x3(4 + x))(5 + x) = 40
(-24 + -6x + (4x + 1x2) + 4x2 * (4 + x) + x3(4 + x))(5 + x) = 40
(-24 + -6x + 4x + 1x2 + (4 * 4x2 + x * 4x2) + x3(4 + x))(5 + x) = 40
(-24 + -6x + 4x + 1x2 + (16x2 + 4x3) + x3(4 + x))(5 + x) = 40
(-24 + -6x + 4x + 1x2 + 16x2 + 4x3 + (4 * x3 + x * x3))(5 + x) = 40
(-24 + -6x + 4x + 1x2 + 16x2 + 4x3 + (4x3 + x4))(5 + x) = 40

Combine like terms: -6x + 4x = -2x
(-24 + -2x + 1x2 + 16x2 + 4x3 + 4x3 + x4)(5 + x) = 40

Combine like terms: 1x2 + 16x2 = 17x2
(-24 + -2x + 17x2 + 4x3 + 4x3 + x4)(5 + x) = 40

Combine like terms: 4x3 + 4x3 = 8x3
(-24 + -2x + 17x2 + 8x3 + x4)(5 + x) = 40

Multiply (-24 + -2x + 17x2 + 8x3 + x4) * (5 + x)
(-24(5 + x) + -2x * (5 + x) + 17x2 * (5 + x) + 8x3 * (5 + x) + x4(5 + x)) = 40
((5 * -24 + x * -24) + -2x * (5 + x) + 17x2 * (5 + x) + 8x3 * (5 + x) + x4(5 + x)) = 40
((-120 + -24x) + -2x * (5 + x) + 17x2 * (5 + x) + 8x3 * (5 + x) + x4(5 + x)) = 40
(-120 + -24x + (5 * -2x + x * -2x) + 17x2 * (5 + x) + 8x3 * (5 + x) + x4(5 + x)) = 40
(-120 + -24x + (-10x + -2x2) + 17x2 * (5 + x) + 8x3 * (5 + x) + x4(5 + x)) = 40
(-120 + -24x + -10x + -2x2 + (5 * 17x2 + x * 17x2) + 8x3 * (5 + x) + x4(5 + x)) = 40
(-120 + -24x + -10x + -2x2 + (85x2 + 17x3) + 8x3 * (5 + x) + x4(5 + x)) = 40
(-120 + -24x + -10x + -2x2 + 85x2 + 17x3 + (5 * 8x3 + x * 8x3) + x4(5 + x)) = 40
(-120 + -24x + -10x + -2x2 + 85x2 + 17x3 + (40x3 + 8x4) + x4(5 + x)) = 40
(-120 + -24x + -10x + -2x2 + 85x2 + 17x3 + 40x3 + 8x4 + (5 * x4 + x * x4)) = 40
(-120 + -24x + -10x + -2x2 + 85x2 + 17x3 + 40x3 + 8x4 + (5x4 + x5)) = 40

Combine like terms: -24x + -10x = -34x
(-120 + -34x + -2x2 + 85x2 + 17x3 + 40x3 + 8x4 + 5x4 + x5) = 40

Combine like terms: -2x2 + 85x2 = 83x2
(-120 + -34x + 83x2 + 17x3 + 40x3 + 8x4 + 5x4 + x5) = 40

Combine like terms: 17x3 + 40x3 = 57x3
(-120 + -34x + 83x2 + 57x3 + 8x4 + 5x4 + x5) = 40

Combine like terms: 8x4 + 5x4 = 13x4
(-120 + -34x + 83x2 + 57x3 + 13x4 + x5) = 40

Solving
-120 + -34x + 83x2 + 57x3 + 13x4 + x5 = 40

Solving for variable 'x'.

Reorder the terms:
-120 + -40 + -34x + 83x2 + 57x3 + 13x4 + x5 = 40 + -40

Combine like terms: -120 + -40 = -160
-160 + -34x + 83x2 + 57x3 + 13x4 + x5 = 40 + -40

Combine like terms: 40 + -40 = 0
-160 + -34x + 83x2 + 57x3 + 13x4 + x5 = 0

The solution to this equation could not be determined.

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