Question 998832
{{{x^4 + 4x^3 -25x^2 -100x = 0}}}


{{{x(x^3 + 4x^2 -25x -100) = 0}}}

{{{x((x^3-25x) + (4x^2  -100)) = 0}}}

{{{x(x(x^2-25) + 4(x^2  -25)) = 0}}}

{{{x((x + 4)(x^2  -25)) = 0}}}

{{{x(x + 4)(x^2  -5^2) = 0}}}

{{{x(x + 4)(x  -5)(x +5) = 0}}}

solutions:

{{{highlight(x = 0)}}}

{{{(x + 4) = 0}}}=>{{{highlight(x=-4)}}}

{{{(x  -5) = 0}}}=>{{{highlight(x=5)}}}

{{{(x +5) = 0}}}=>{{{highlight(x=-5)}}}