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

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


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

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

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

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

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

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

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

Multiply (-2 + 1x + x2) * (4 + x)
(-2(4 + x) + 1x * (4 + x) + x2(4 + x))(5 + x) = 40
((4 * -2 + x * -2) + 1x * (4 + x) + x2(4 + x))(5 + x) = 40
((-8 + -2x) + 1x * (4 + x) + x2(4 + x))(5 + x) = 40
(-8 + -2x + (4 * 1x + x * 1x) + x2(4 + x))(5 + x) = 40
(-8 + -2x + (4x + 1x2) + x2(4 + x))(5 + x) = 40
(-8 + -2x + 4x + 1x2 + (4 * x2 + x * x2))(5 + x) = 40
(-8 + -2x + 4x + 1x2 + (4x2 + x3))(5 + x) = 40

Combine like terms: -2x + 4x = 2x
(-8 + 2x + 1x2 + 4x2 + x3)(5 + x) = 40

Combine like terms: 1x2 + 4x2 = 5x2
(-8 + 2x + 5x2 + x3)(5 + x) = 40

Multiply (-8 + 2x + 5x2 + x3) * (5 + x)
(-8(5 + x) + 2x * (5 + x) + 5x2 * (5 + x) + x3(5 + x)) = 40
((5 * -8 + x * -8) + 2x * (5 + x) + 5x2 * (5 + x) + x3(5 + x)) = 40
((-40 + -8x) + 2x * (5 + x) + 5x2 * (5 + x) + x3(5 + x)) = 40
(-40 + -8x + (5 * 2x + x * 2x) + 5x2 * (5 + x) + x3(5 + x)) = 40
(-40 + -8x + (10x + 2x2) + 5x2 * (5 + x) + x3(5 + x)) = 40
(-40 + -8x + 10x + 2x2 + (5 * 5x2 + x * 5x2) + x3(5 + x)) = 40
(-40 + -8x + 10x + 2x2 + (25x2 + 5x3) + x3(5 + x)) = 40
(-40 + -8x + 10x + 2x2 + 25x2 + 5x3 + (5 * x3 + x * x3)) = 40
(-40 + -8x + 10x + 2x2 + 25x2 + 5x3 + (5x3 + x4)) = 40

Combine like terms: -8x + 10x = 2x
(-40 + 2x + 2x2 + 25x2 + 5x3 + 5x3 + x4) = 40

Combine like terms: 2x2 + 25x2 = 27x2
(-40 + 2x + 27x2 + 5x3 + 5x3 + x4) = 40

Combine like terms: 5x3 + 5x3 = 10x3
(-40 + 2x + 27x2 + 10x3 + x4) = 40

Solving
-40 + 2x + 27x2 + 10x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + -40 + 2x + 27x2 + 10x3 + x4 = 40 + -40

Combine like terms: -40 + -40 = -80
-80 + 2x + 27x2 + 10x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
-80 + 2x + 27x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

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