Question

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

Answer 1

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.

Answer 2

$\sf 5 x^{2} =-125x$

Divide x on both sides

$\sf\frac{5 x^{2} }{x} = \frac{-125x}{x}$

Simplify that

$\sf 5x=-125$

Divide by 5 on both sides

$\sf\frac{5x}{5} = \frac{-125}{5}$

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:

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