Solve E-2E=(P+T)*1/E

$$E - 2 E = ( P + T ) \cdot \frac { 1 } { E }$$

Solve for P

$$P=-\left(E^{2}+T\right)$$

$$E\neq 0$$

Solution Steps

Multiply both sides of the equation by E.

$$EE-2EE=\left(P+T\right)\times 1$$

Multiply E and E to get E^{2}.

$$E^{2}-2EE=\left(P+T\right)\times 1$$

Multiply E and E to get E^{2}.

$$E^{2}-2E^{2}=\left(P+T\right)\times 1$$

Combine E^{2} and -2E^{2} to get -E^{2}.

$$-E^{2}=\left(P+T\right)\times 1$$

Use the distributive property to multiply P+T by 1.

$$-E^{2}=P+T$$

Swap sides so that all variable terms are on the left hand side.

$$P+T=-E^{2}$$

Subtract T from both sides.

$$P=-E^{2}-T$$

Solve for E

$$E=\sqrt{-P-T}$$

$$E=-\sqrt{-P-T}\text{, }P<-T$$