x+(x+1)(x+2)(x+3)=75

Solution for x+(x+1)(x+2)(x+3)=75 equation:

Simplifying
x + (x + 1)(x + 2)(x + 3) = 75

Reorder the terms:
x + (1 + x)(x + 2)(x + 3) = 75

Reorder the terms:
x + (1 + x)(2 + x)(x + 3) = 75

Reorder the terms:
x + (1 + x)(2 + x)(3 + x) = 75

Multiply (1 + x) * (2 + x)
x + (1(2 + x) + x(2 + x))(3 + x) = 75
x + ((2 * 1 + x * 1) + x(2 + x))(3 + x) = 75
x + ((2 + 1x) + x(2 + x))(3 + x) = 75
x + (2 + 1x + (2 * x + x * x))(3 + x) = 75
x + (2 + 1x + (2x + x2))(3 + x) = 75

Combine like terms: 1x + 2x = 3x
x + (2 + 3x + x2)(3 + x) = 75

Multiply (2 + 3x + x2) * (3 + x)
x + (2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 75
x + ((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 75
x + ((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 75
x + (6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 75
x + (6 + 2x + (9x + 3x2) + x2(3 + x)) = 75
x + (6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 75
x + (6 + 2x + 9x + 3x2 + (3x2 + x3)) = 75

Combine like terms: 2x + 9x = 11x
x + (6 + 11x + 3x2 + 3x2 + x3) = 75

Combine like terms: 3x2 + 3x2 = 6x2
x + (6 + 11x + 6x2 + x3) = 75

Reorder the terms:
6 + x + 11x + 6x2 + x3 = 75

Combine like terms: x + 11x = 12x
6 + 12x + 6x2 + x3 = 75

Solving
6 + 12x + 6x2 + x3 = 75

Solving for variable 'x'.

Reorder the terms:
6 + -75 + 12x + 6x2 + x3 = 75 + -75

Combine like terms: 6 + -75 = -69
-69 + 12x + 6x2 + x3 = 75 + -75

Combine like terms: 75 + -75 = 0
-69 + 12x + 6x2 + x3 = 0

The solution to this equation could not be determined.