(x-2)(x+1)(x+4)(x+7)=19

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Solution for (x-2)(x+1)(x+4)(x+7)=19 equation: 


Simplifying
(x + -2)(x + 1)(x + 4)(x + 7) = 19

Reorder the terms:
(-2 + x)(x + 1)(x + 4)(x + 7) = 19

Reorder the terms:
(-2 + x)(1 + x)(x + 4)(x + 7) = 19

Reorder the terms:
(-2 + x)(1 + x)(4 + x)(x + 7) = 19

Reorder the terms:
(-2 + x)(1 + x)(4 + x)(7 + x) = 19

Multiply (-2 + x) * (1 + x)
(-2(1 + x) + x(1 + x))(4 + x)(7 + x) = 19
((1 * -2 + x * -2) + x(1 + x))(4 + x)(7 + x) = 19
((-2 + -2x) + x(1 + x))(4 + x)(7 + x) = 19
(-2 + -2x + (1 * x + x * x))(4 + x)(7 + x) = 19
(-2 + -2x + (1x + x2))(4 + x)(7 + x) = 19

Combine like terms: -2x + 1x = -1x
(-2 + -1x + x2)(4 + x)(7 + x) = 19

Multiply (-2 + -1x + x2) * (4 + x)
(-2(4 + x) + -1x * (4 + x) + x2(4 + x))(7 + x) = 19
((4 * -2 + x * -2) + -1x * (4 + x) + x2(4 + x))(7 + x) = 19
((-8 + -2x) + -1x * (4 + x) + x2(4 + x))(7 + x) = 19
(-8 + -2x + (4 * -1x + x * -1x) + x2(4 + x))(7 + x) = 19
(-8 + -2x + (-4x + -1x2) + x2(4 + x))(7 + x) = 19
(-8 + -2x + -4x + -1x2 + (4 * x2 + x * x2))(7 + x) = 19
(-8 + -2x + -4x + -1x2 + (4x2 + x3))(7 + x) = 19

Combine like terms: -2x + -4x = -6x
(-8 + -6x + -1x2 + 4x2 + x3)(7 + x) = 19

Combine like terms: -1x2 + 4x2 = 3x2
(-8 + -6x + 3x2 + x3)(7 + x) = 19

Multiply (-8 + -6x + 3x2 + x3) * (7 + x)
(-8(7 + x) + -6x * (7 + x) + 3x2 * (7 + x) + x3(7 + x)) = 19
((7 * -8 + x * -8) + -6x * (7 + x) + 3x2 * (7 + x) + x3(7 + x)) = 19
((-56 + -8x) + -6x * (7 + x) + 3x2 * (7 + x) + x3(7 + x)) = 19
(-56 + -8x + (7 * -6x + x * -6x) + 3x2 * (7 + x) + x3(7 + x)) = 19
(-56 + -8x + (-42x + -6x2) + 3x2 * (7 + x) + x3(7 + x)) = 19
(-56 + -8x + -42x + -6x2 + (7 * 3x2 + x * 3x2) + x3(7 + x)) = 19
(-56 + -8x + -42x + -6x2 + (21x2 + 3x3) + x3(7 + x)) = 19
(-56 + -8x + -42x + -6x2 + 21x2 + 3x3 + (7 * x3 + x * x3)) = 19
(-56 + -8x + -42x + -6x2 + 21x2 + 3x3 + (7x3 + x4)) = 19

Combine like terms: -8x + -42x = -50x
(-56 + -50x + -6x2 + 21x2 + 3x3 + 7x3 + x4) = 19

Combine like terms: -6x2 + 21x2 = 15x2
(-56 + -50x + 15x2 + 3x3 + 7x3 + x4) = 19

Combine like terms: 3x3 + 7x3 = 10x3
(-56 + -50x + 15x2 + 10x3 + x4) = 19

Solving
-56 + -50x + 15x2 + 10x3 + x4 = 19

Solving for variable 'x'.

Reorder the terms:
-56 + -19 + -50x + 15x2 + 10x3 + x4 = 19 + -19

Combine like terms: -56 + -19 = -75
-75 + -50x + 15x2 + 10x3 + x4 = 19 + -19

Combine like terms: 19 + -19 = 0
-75 + -50x + 15x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

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