Solve for b 6=f/b-g^2

$6 = \frac{f}{b} - g^{2}$

Rewrite the equation as $\frac{f}{b} - g^{2} = 6$ .

$\frac{f}{b} - g^{2} = 6$

Add $g^{2}$ to both sides of the equation.

$\frac{f}{b} = 6 + g^{2}$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$b, 1, 1$

The LCM of one and any expression is the expression.

$b$

Multiply each term in $\frac{f}{b} = 6 + g^{2}$ by $b$ to eliminate the fractions.

Multiply each term in $\frac{f}{b} = 6 + g^{2}$ by $b$ .

$\frac{f}{b} b = 6 b + g^{2} b$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{f}{b} b = 6 b + g^{2} b$

Rewrite the expression.

$f = 6 b + g^{2} b$

Solve the equation.

Rewrite the equation as $6 b + g^{2} b = f$ .

$6 b + g^{2} b = f$

Factor $b$ out of $6 b + g^{2} b$ .

Factor $b$ out of $6 b$ .

$b \cdot 6 + g^{2} b = f$

Factor $b$ out of $g^{2} b$ .

$b \cdot 6 + b g^{2} = f$

Factor $b$ out of $b \cdot 6 + b g^{2}$ .

$b (6 + g^{2}) = f$

Divide each term in $b (6 + g^{2}) = f$ by $6 + g^{2}$ and simplify.

Divide each term in $b (6 + g^{2}) = f$ by $6 + g^{2}$ .

$\frac{b (6 + g^{2})}{6 + g^{2}} = \frac{f}{6 + g^{2}}$

Simplify the left side.

Cancel the common factor of $6 + g^{2}$ .

Cancel the common factor.

$\frac{b (6 + g^{2})}{6 + g^{2}} = \frac{f}{6 + g^{2}}$

Divide $b$ by $1$ .

$b = \frac{f}{6 + g^{2}}$