Solve for P
P=-\frac{xy}{16}
x\neq 0
Solve for x
\left\{\begin{matrix}x=-\frac{16P}{y}\text{, }&P\neq 0\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }P=0\end{matrix}\right.
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yx=8P\left(2-4\right)
Multiply both sides of the equation by x.
yx=8P\left(-2\right)
Subtract 4 from 2 to get -2.
yx=-16P
Multiply 8 and -2 to get -16.
-16P=yx
Swap sides so that all variable terms are on the left hand side.
-16P=xy
The equation is in standard form.
\frac{-16P}{-16}=\frac{xy}{-16}
Divide both sides by -16.
P=\frac{xy}{-16}
Dividing by -16 undoes the multiplication by -16.
P=-\frac{xy}{16}
Divide yx by -16.
yx=8P\left(2-4\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx=8P\left(-2\right)
Subtract 4 from 2 to get -2.
yx=-16P
Multiply 8 and -2 to get -16.
\frac{yx}{y}=-\frac{16P}{y}
Divide both sides by y.
x=-\frac{16P}{y}
Dividing by y undoes the multiplication by y.
x=-\frac{16P}{y}\text{, }x\neq 0
Variable x cannot be equal to 0.
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