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

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


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

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

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

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

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

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

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

Multiply (-4 + 3x + x2) * (3 + x)
(-4(3 + x) + 3x * (3 + x) + x2(3 + x))(5 + x) = (x + 1)(x + 4)
((3 * -4 + x * -4) + 3x * (3 + x) + x2(3 + x))(5 + x) = (x + 1)(x + 4)
((-12 + -4x) + 3x * (3 + x) + x2(3 + x))(5 + x) = (x + 1)(x + 4)
(-12 + -4x + (3 * 3x + x * 3x) + x2(3 + x))(5 + x) = (x + 1)(x + 4)
(-12 + -4x + (9x + 3x2) + x2(3 + x))(5 + x) = (x + 1)(x + 4)
(-12 + -4x + 9x + 3x2 + (3 * x2 + x * x2))(5 + x) = (x + 1)(x + 4)
(-12 + -4x + 9x + 3x2 + (3x2 + x3))(5 + x) = (x + 1)(x + 4)

Combine like terms: -4x + 9x = 5x
(-12 + 5x + 3x2 + 3x2 + x3)(5 + x) = (x + 1)(x + 4)

Combine like terms: 3x2 + 3x2 = 6x2
(-12 + 5x + 6x2 + x3)(5 + x) = (x + 1)(x + 4)

Multiply (-12 + 5x + 6x2 + x3) * (5 + x)
(-12(5 + x) + 5x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = (x + 1)(x + 4)
((5 * -12 + x * -12) + 5x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = (x + 1)(x + 4)
((-60 + -12x) + 5x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = (x + 1)(x + 4)
(-60 + -12x + (5 * 5x + x * 5x) + 6x2 * (5 + x) + x3(5 + x)) = (x + 1)(x + 4)
(-60 + -12x + (25x + 5x2) + 6x2 * (5 + x) + x3(5 + x)) = (x + 1)(x + 4)
(-60 + -12x + 25x + 5x2 + (5 * 6x2 + x * 6x2) + x3(5 + x)) = (x + 1)(x + 4)
(-60 + -12x + 25x + 5x2 + (30x2 + 6x3) + x3(5 + x)) = (x + 1)(x + 4)
(-60 + -12x + 25x + 5x2 + 30x2 + 6x3 + (5 * x3 + x * x3)) = (x + 1)(x + 4)
(-60 + -12x + 25x + 5x2 + 30x2 + 6x3 + (5x3 + x4)) = (x + 1)(x + 4)

Combine like terms: -12x + 25x = 13x
(-60 + 13x + 5x2 + 30x2 + 6x3 + 5x3 + x4) = (x + 1)(x + 4)

Combine like terms: 5x2 + 30x2 = 35x2
(-60 + 13x + 35x2 + 6x3 + 5x3 + x4) = (x + 1)(x + 4)

Combine like terms: 6x3 + 5x3 = 11x3
(-60 + 13x + 35x2 + 11x3 + x4) = (x + 1)(x + 4)

Reorder the terms:
-60 + 13x + 35x2 + 11x3 + x4 = (1 + x)(x + 4)

Reorder the terms:
-60 + 13x + 35x2 + 11x3 + x4 = (1 + x)(4 + x)

Multiply (1 + x) * (4 + x)
-60 + 13x + 35x2 + 11x3 + x4 = (1(4 + x) + x(4 + x))
-60 + 13x + 35x2 + 11x3 + x4 = ((4 * 1 + x * 1) + x(4 + x))
-60 + 13x + 35x2 + 11x3 + x4 = ((4 + 1x) + x(4 + x))
-60 + 13x + 35x2 + 11x3 + x4 = (4 + 1x + (4 * x + x * x))
-60 + 13x + 35x2 + 11x3 + x4 = (4 + 1x + (4x + x2))

Combine like terms: 1x + 4x = 5x
-60 + 13x + 35x2 + 11x3 + x4 = (4 + 5x + x2)

Solving
-60 + 13x + 35x2 + 11x3 + x4 = 4 + 5x + x2

Solving for variable 'x'.

Reorder the terms:
-60 + -4 + 13x + -5x + 35x2 + -1x2 + 11x3 + x4 = 4 + 5x + x2 + -4 + -5x + -1x2

Combine like terms: -60 + -4 = -64
-64 + 13x + -5x + 35x2 + -1x2 + 11x3 + x4 = 4 + 5x + x2 + -4 + -5x + -1x2

Combine like terms: 13x + -5x = 8x
-64 + 8x + 35x2 + -1x2 + 11x3 + x4 = 4 + 5x + x2 + -4 + -5x + -1x2

Combine like terms: 35x2 + -1x2 = 34x2
-64 + 8x + 34x2 + 11x3 + x4 = 4 + 5x + x2 + -4 + -5x + -1x2

Reorder the terms:
-64 + 8x + 34x2 + 11x3 + x4 = 4 + -4 + 5x + -5x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-64 + 8x + 34x2 + 11x3 + x4 = 0 + 5x + -5x + x2 + -1x2
-64 + 8x + 34x2 + 11x3 + x4 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-64 + 8x + 34x2 + 11x3 + x4 = 0 + x2 + -1x2
-64 + 8x + 34x2 + 11x3 + x4 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-64 + 8x + 34x2 + 11x3 + x4 = 0

The solution to this equation could not be determined.

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