x(x+1)(x^2+x+1)=42

Solution for x(x+1)(x^2+x+1)=42 equation:

Simplifying
x(x + 1)(x2 + x + 1) = 42

Reorder the terms:
x(1 + x)(x2 + x + 1) = 42

Reorder the terms:
x(1 + x)(1 + x + x2) = 42

Multiply (1 + x) * (1 + x + x2)
x(1(1 + x + x2) + x(1 + x + x2)) = 42
x((1 * 1 + x * 1 + x2 * 1) + x(1 + x + x2)) = 42
x((1 + 1x + 1x2) + x(1 + x + x2)) = 42
x(1 + 1x + 1x2 + (1 * x + x * x + x2 * x)) = 42
x(1 + 1x + 1x2 + (1x + x2 + x3)) = 42

Reorder the terms:
x(1 + 1x + 1x + 1x2 + x2 + x3) = 42

Combine like terms: 1x + 1x = 2x
x(1 + 2x + 1x2 + x2 + x3) = 42

Combine like terms: 1x2 + x2 = 2x2
x(1 + 2x + 2x2 + x3) = 42
(1 * x + 2x * x + 2x2 * x + x3 * x) = 42
(1x + 2x2 + 2x3 + x4) = 42

Solving
1x + 2x2 + 2x3 + x4 = 42

Solving for variable 'x'.

Reorder the terms:
-42 + 1x + 2x2 + 2x3 + x4 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 1x + 2x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.