Was studying a little for maths.. in the middle of a question I've hit a brain fade.

m^2 + 80 = 0.25m^2

The next step in the answers is

0.75m^2 = 80

What did they do to go from there to here?

2. Originally Posted by Mschumi
Was studying a little for maths.. in the middle of a question I've hit a brain fade.

m^2 + 80 = 0.25m^2

The next step in the answers is

0.75m^2 = 80

What did they do to go from there to here?

$\displaystyle m^2+80=.25m^2$

Subtract $\displaystyle .25m^2$ from both sides

$\displaystyle .75m^2+80=0$

Now subtract 80 from both sides

Being as this won't be what you posted, I presume you actually meant $\displaystyle m^2-80=.25m^2$ note the - sign

3. Originally Posted by Mschumi
Was studying a little for maths.. in the middle of a question I've hit a brain fade.

m^2 + 80 = 0.25m^2

The next step in the answers is

0.75m^2 = 80

What did they do to go from there to here?
Subtract $\displaystyle 0.25m^2$ from each side, and add 80 to each side; that is:

$\displaystyle m^2-80=0.25m^2 \Leftrightarrow m^2-80-0.25m^2 = 0.25m^2-0.25m^2 \Leftrightarrow$ $\displaystyle (1-0.25)m^2-80 = 0 \Rightarrow 0.75m^2=80$

4. ## Cheers

Yup meant to have the $\displaystyle -$.

Thank You for help.