Solve eP(x)=2x^3+4x^4-ax+20

$$e P ( x ) = 2 x ^ { 3 } + 4 x ^ { 4 } - a x + 20$$

Solve for P

$$P=-\frac{-4x^{4}-2x^{3}+ax-20}{ex}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$exP=4x^{4}+2x^{3}-ax+20$$

Divide both sides by ex.

$$\frac{exP}{ex}=\frac{4x^{4}+2x^{3}-ax+20}{ex}$$

Dividing by ex undoes the multiplication by ex.

$$P=\frac{4x^{4}+2x^{3}-ax+20}{ex}$$

Solve for a

$$a=4x^{3}+2x^{2}-eP+\frac{20}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$2x^{3}+4x^{4}-ax+20=ePx$$

Subtract 2x^{3} from both sides.

$$4x^{4}-ax+20=ePx-2x^{3}$$

Subtract 4x^{4} from both sides.

$$-ax+20=ePx-2x^{3}-4x^{4}$$

Subtract 20 from both sides.

$$-ax=ePx-2x^{3}-4x^{4}-20$$

The equation is in standard form.

$$\left(-x\right)a=-4x^{4}-2x^{3}+ePx-20$$

Divide both sides by -x.

$$\frac{\left(-x\right)a}{-x}=\frac{-4x^{4}-2x^{3}+ePx-20}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$a=\frac{-4x^{4}-2x^{3}+ePx-20}{-x}$$

Divide ePx-2x^{3}-4x^{4}-20 by -x.

$$a=4x^{3}+2x^{2}-eP+\frac{20}{x}$$