Solve for b c=a/(3b+8)

$c = \frac{a}{3 b + 8}$

Rewrite the equation as $\frac{a}{3 b + 8} = c$ .

$\frac{a}{3 b + 8} = c$

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.

$3 b + 8, 1$

Remove parentheses.

$3 b + 8, 1$

The LCM of one and any expression is the expression.

$3 b + 8$

Multiply each term in $\frac{a}{3 b + 8} = c$ by $3 b + 8$ to eliminate the fractions.

Multiply each term in $\frac{a}{3 b + 8} = c$ by $3 b + 8$ .

$\frac{a}{3 b + 8} (3 b + 8) = c (3 b + 8)$

Simplify the left side.

Cancel the common factor of $3 b + 8$ .

Cancel the common factor.

$\frac{a}{3 b + 8} (3 b + 8) = c (3 b + 8)$

Rewrite the expression.

$a = c (3 b + 8)$

Simplify the right side.

Apply the distributive property.

$a = c (3 b) + c \cdot 8$

Reorder.

Rewrite using the commutative property of multiplication.

$a = 3 c b + c \cdot 8$

Move $8$ to the left of $c$ .

$a = 3 c b + 8 c$

Solve the equation.

Rewrite the equation as $3 c b + 8 c = a$ .

$3 c b + 8 c = a$

Subtract $8 c$ from both sides of the equation.

$3 c b = a - 8 c$

Divide each term in $3 c b = a - 8 c$ by $3 c$ and simplify.

Divide each term in $3 c b = a - 8 c$ by $3 c$ .

$\frac{3 c b}{3 c} = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 c b}{3 c} = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Rewrite the expression.

$\frac{c b}{c} = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{c b}{c} = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Divide $b$ by $1$ .

$b = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $c$ .

Cancel the common factor.

$b = \frac{a}{3 c} + \frac{- 8 c}{3 c}$

Rewrite the expression.

$b = \frac{a}{3 c} + \frac{- 8}{3}$

Move the negative in front of the fraction.

$b = \frac{a}{3 c} - \frac{8}{3}$

Solve for b c=a/(3b+8)

Related Questions

Support LCMGCF.com by disabling your adblocker.