(x-1)(x^2+5x+6)=0

Solution for (x-1)(x^2+5x+6)=0 equation:

Simplifying
(x + -1)(x2 + 5x + 6) = 0

Reorder the terms:
(-1 + x)(x2 + 5x + 6) = 0

Reorder the terms:
(-1 + x)(6 + 5x + x2) = 0

Multiply (-1 + x) * (6 + 5x + x2)
(-1(6 + 5x + x2) + x(6 + 5x + x2)) = 0
((6 * -1 + 5x * -1 + x2 * -1) + x(6 + 5x + x2)) = 0
((-6 + -5x + -1x2) + x(6 + 5x + x2)) = 0
(-6 + -5x + -1x2 + (6 * x + 5x * x + x2 * x)) = 0
(-6 + -5x + -1x2 + (6x + 5x2 + x3)) = 0

Reorder the terms:
(-6 + -5x + 6x + -1x2 + 5x2 + x3) = 0

Combine like terms: -5x + 6x = 1x
(-6 + 1x + -1x2 + 5x2 + x3) = 0

Combine like terms: -1x2 + 5x2 = 4x2
(-6 + 1x + 4x2 + x3) = 0

Solving
-6 + 1x + 4x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.