Question 993141
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Solve the equation {{{x^3 + 9x^2 + 5x}}} = {{{-45}}}.
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{{{x^3 + 9x^2 + 5x + 45}}} = {{{0}}}.


Apply the factorization method.  To make factorization, apply grouping:


{{{x^3 + 9x^2 + 5x + 45}}} = {{{x^3 + 9x^2}}} + {{{5x + 45}}} = {{{x^2*(x+9)}}} + {{{5*(x+9)}}} = {{{(x^2 + 5)*(x + 9)}}}.


The only real root is  x = -9.


There is no other real roots.


Other complex roots are  {{{sqrt(5)*i}}}  and  -{{{sqrt(5)*i}}}.