x(5+x)(x+7)(x+12)+150=0

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Solution for x(5+x)(x+7)(x+12)+150=0 equation: 


Simplifying
x(5 + x)(x + 7)(x + 12) + 150 = 0

Reorder the terms:
x(5 + x)(7 + x)(x + 12) + 150 = 0

Reorder the terms:
x(5 + x)(7 + x)(12 + x) + 150 = 0

Multiply (5 + x) * (7 + x)
x(5(7 + x) + x(7 + x))(12 + x) + 150 = 0
x((7 * 5 + x * 5) + x(7 + x))(12 + x) + 150 = 0
x((35 + 5x) + x(7 + x))(12 + x) + 150 = 0
x(35 + 5x + (7 * x + x * x))(12 + x) + 150 = 0
x(35 + 5x + (7x + x2))(12 + x) + 150 = 0

Combine like terms: 5x + 7x = 12x
x(35 + 12x + x2)(12 + x) + 150 = 0

Multiply (35 + 12x + x2) * (12 + x)
x(35(12 + x) + 12x * (12 + x) + x2(12 + x)) + 150 = 0
x((12 * 35 + x * 35) + 12x * (12 + x) + x2(12 + x)) + 150 = 0
x((420 + 35x) + 12x * (12 + x) + x2(12 + x)) + 150 = 0
x(420 + 35x + (12 * 12x + x * 12x) + x2(12 + x)) + 150 = 0
x(420 + 35x + (144x + 12x2) + x2(12 + x)) + 150 = 0
x(420 + 35x + 144x + 12x2 + (12 * x2 + x * x2)) + 150 = 0
x(420 + 35x + 144x + 12x2 + (12x2 + x3)) + 150 = 0

Combine like terms: 35x + 144x = 179x
x(420 + 179x + 12x2 + 12x2 + x3) + 150 = 0

Combine like terms: 12x2 + 12x2 = 24x2
x(420 + 179x + 24x2 + x3) + 150 = 0
(420 * x + 179x * x + 24x2 * x + x3 * x) + 150 = 0
(420x + 179x2 + 24x3 + x4) + 150 = 0

Reorder the terms:
150 + 420x + 179x2 + 24x3 + x4 = 0

Solving
150 + 420x + 179x2 + 24x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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