Question

Find all solutions:
1). x^2+10x-24=0
2). 12m^2-5m=0

Answer 1

#2)
\[12m^2-5m=0\]
\[m(12m-5)=0\]
\[m=0\] or
\[12m-5=0\]
\[12m=5\]
\[m=\frac{12}{5}\]

Answer 2

#1)

\[x^2+12x-24=0\]
\[(x-2)(x+12)=0\]
\[x-2=0\]
\[x=2\] or
\[x+12=0\]
\[x=-12\]