To get the solutions to the equation x^6 + 6x^3 + 5 = 0 using factoring.
Expanding x^6 + 6x^3 + 5 = 0 gives x^6 + x^3 + 5x^3 + 5 = 0,
Factoring x^6 + x^3 + 5x^3 + 5 = 0 gives x^3(x^3 + 1) + 5(x^3 + 1) = 0,
Grouping x^3(x^3 + 1) + 5(x^3 + 1) = 0 gives (x^3 + 5)(x^3 + 1) = 0
Solving (x^3 + 5)(x^3 + 1) = 0 gives x^3 + 5 = 0 or x^3 + 1 = 0
x^3 = -5 or x^3 = -1
x = cube root of -5 or x = cube root of -1
x = -1.71 or x = -1
