Solve for z 4.8/(2z+15)=0.2/5

$\frac{4.8}{2 z + 15} = \frac{0.2}{5}$

Divide $0.2$ by $5$ .

$\frac{4.8}{2 z + 15} = 0.04$

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.

$2 z + 15, 1$

Remove parentheses.

$2 z + 15, 1$

The LCM of one and any expression is the expression.

$2 z + 15$

Multiply each term in $\frac{4.8}{2 z + 15} = 0.04$ by $2 z + 15$ to eliminate the fractions.

Multiply each term in $\frac{4.8}{2 z + 15} = 0.04$ by $2 z + 15$ .

$\frac{4.8}{2 z + 15} (2 z + 15) = 0.04 (2 z + 15)$

Simplify the left side.

Cancel the common factor of $2 z + 15$ .

Cancel the common factor.

$\frac{4.8}{2 z + 15} (2 z + 15) = 0.04 (2 z + 15)$

Rewrite the expression.

$4.8 = 0.04 (2 z + 15)$

Simplify the right side.

Apply the distributive property.

$4.8 = 0.04 (2 z) + 0.04 \cdot 15$

Multiply.

Multiply $2$ by $0.04$ .

$4.8 = 0.08 z + 0.04 \cdot 15$

Multiply $0.04$ by $15$ .

$4.8 = 0.08 z + 0.6$

Solve the equation.

Rewrite the equation as $0.08 z + 0.6 = 4.8$ .

$0.08 z + 0.6 = 4.8$

Move all terms not containing $z$ to the right side of the equation.

Subtract $0.6$ from both sides of the equation.

$0.08 z = 4.8 - 0.6$

Subtract $0.6$ from $4.8$ .

$0.08 z = 4.2$

Divide each term in $0.08 z = 4.2$ by $0.08$ and simplify.

Divide each term in $0.08 z = 4.2$ by $0.08$ .

$\frac{0.08 z}{0.08} = \frac{4.2}{0.08}$

Simplify the left side.

Cancel the common factor of $0.08$ .

Cancel the common factor.

$\frac{0.08 z}{0.08} = \frac{4.2}{0.08}$

Divide $z$ by $1$ .

$z = \frac{4.2}{0.08}$

Simplify the right side.

Divide $4.2$ by $0.08$ .

$z = 52.5$

Solve for z 4.8/(2z+15)=0.2/5

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