Solve be^2+50=f+23

$$b e ^ { 2 } + 50 = f + 23$$

Solve for b

$$b=\frac{f-27}{e^{2}}$$

Steps for Solving Linear Equation

Subtract 50 from both sides.

$$be^{2}=f+23-50$$

Subtract 50 from 23 to get -27.

$$be^{2}=f-27$$

The equation is in standard form.

$$e^{2}b=f-27$$

Divide both sides by e^{2}.

$$\frac{e^{2}b}{e^{2}}=\frac{f-27}{e^{2}}$$

Dividing by e^{2} undoes the multiplication by e^{2}.

$$b=\frac{f-27}{e^{2}}$$

Solve for f

$$f=e^{2}b+27$$

Solution Steps

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

$$f+23=be^{2}+50$$

Subtract 23 from both sides.

$$f=be^{2}+50-23$$

Subtract 23 from 50 to get 27.

$$f=be^{2}+27$$