Question

5x^2=-125x
please show and explain process of getting answer

Answer 1

`\sf 5 x^(2) =-125x`

Divide x on both sides


`\sf(5 x^(2) )/(x) = (-125x)/(x)`

Simplify that


`\sf 5x=-125`

Divide by 5 on both sides


`\sf(5x)/(5) = (-125)/(5)`

Simplify that


`\sf x=-5`

One of your final answer will be:


`\bf{\huge{\boxed{x=-5}}}`

But if you notice, we have x on both sides and it is doing multiplication. So another answer would be:


`\bf{\huge{\boxed{x=0}}}`

And so your two answers are:


`\bf{\huge{\boxed{x=0,-5}}}`

Answer 2

x=0 is trivial solution. (since all terms have variable x)

Now divide both sides by x, you have 5x = -125

Now divide both sides by 5;

x = -125/5 = -25

So answer is x = 0 or -25.