Question

$$=\frac{-4\pm(-6)}{2}+\frac{-4(-2)}{2}-21$$

Answer

p=5/(48*m)

Solution


Remove parentheses.
\[=-4pm\times -6\times 2+-4\times -2\times 2-21\]
Simplify  \(4pm\times -6\times 2\)  to  \(-48pm\).
\[=-(-48pm)-4\times -2\times 2-21\]
Simplify  \(4\times -2\)  to  \(-8\).
\[=-(-48pm)-(-8\times 2)-21\]
Simplify  \(-8\times 2\)  to  \(-16\).
\[=-(-48pm)-(-16)-21\]
Add \((-16)\) to both sides.
\[-16=48pm-21\]
Factor out the common term \(3\).
\[-16=3(16pm-7)\]
Divide both sides by \(3\).
\[-\frac{16}{3}=16pm-7\]
Add \(7\) to both sides.
\[-\frac{16}{3}+7=16pm\]
Simplify  \(-\frac{16}{3}+7\)  to  \(\frac{5}{3}\).
\[\frac{5}{3}=16pm\]
Divide both sides by \(16\).
\[\frac{\frac{5}{3}}{16}=pm\]
Simplify  \(\frac{\frac{5}{3}}{16}\)  to  \(\frac{5}{3\times 16}\).
\[\frac{5}{3\times 16}=pm\]
Simplify  \(3\times 16\)  to  \(48\).
\[\frac{5}{48}=pm\]
Divide both sides by \(m\).
\[\frac{\frac{5}{48}}{m}=p\]
Simplify  \(\frac{\frac{5}{48}}{m}\)  to  \(\frac{5}{48m}\).
\[\frac{5}{48m}=p\]
Switch sides.
\[p=\frac{5}{48m}\]