x*(x+1)*(x^2+5x+6)=120

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Solution for x*(x+1)*(x^2+5x+6)=120 equation:


Simplifying
x(x + 1)(x2 + 5x + 6) = 120

Reorder the terms:
x(1 + x)(x2 + 5x + 6) = 120

Reorder the terms:
x(1 + x)(6 + 5x + x2) = 120

Multiply (1 + x) * (6 + 5x + x2)
x(1(6 + 5x + x2) + x(6 + 5x + x2)) = 120
x((6 * 1 + 5x * 1 + x2 * 1) + x(6 + 5x + x2)) = 120
x((6 + 5x + 1x2) + x(6 + 5x + x2)) = 120
x(6 + 5x + 1x2 + (6 * x + 5x * x + x2 * x)) = 120
x(6 + 5x + 1x2 + (6x + 5x2 + x3)) = 120

Reorder the terms:
x(6 + 5x + 6x + 1x2 + 5x2 + x3) = 120

Combine like terms: 5x + 6x = 11x
x(6 + 11x + 1x2 + 5x2 + x3) = 120

Combine like terms: 1x2 + 5x2 = 6x2
x(6 + 11x + 6x2 + x3) = 120
(6 * x + 11x * x + 6x2 * x + x3 * x) = 120
(6x + 11x2 + 6x3 + x4) = 120

Solving
6x + 11x2 + 6x3 + x4 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + 6x + 11x2 + 6x3 + x4 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 6x + 11x2 + 6x3 + x4 = 0

The solution to this equation could not be determined.

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