How to solve 3P=(8)/(10+Q)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3P=(8)/(10+Q) | Equatix

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Question

$$3P= \frac{ 8 }{ 10+Q }$$

Solve for P

$P=\frac{8}{3\left(Q+10\right)}$
$Q\neq -10$

Steps for Solving Linear Equation

Multiply both sides of the equation by $Q+10$.

$$3P\left(Q+10\right)=8$$

Use the distributive property to multiply $3P$ by $Q+10$.

$$3PQ+30P=8$$

Combine all terms containing $P$.

$$\left(3Q+30\right)P=8$$

Divide both sides by $3Q+30$.

$$\frac{\left(3Q+30\right)P}{3Q+30}=\frac{8}{3Q+30}$$

Dividing by $3Q+30$ undoes the multiplication by $3Q+30$.

$$P=\frac{8}{3Q+30}$$

Divide $8$ by $3Q+30$.

$$P=\frac{8}{3\left(Q+10\right)}$$

Show Solution

Solve for Q

$Q=-10+\frac{8}{3P}$
$P\neq 0$

Steps for Solving Linear Equation

Variable $Q$ cannot be equal to $-10$ since division by zero is not defined. Multiply both sides of the equation by $Q+10$.

$$3P\left(Q+10\right)=8$$

Use the distributive property to multiply $3P$ by $Q+10$.

$$3PQ+30P=8$$

Subtract $30P$ from both sides.

$$3PQ=8-30P$$

Divide both sides by $3P$.

$$\frac{3PQ}{3P}=\frac{8-30P}{3P}$$

Dividing by $3P$ undoes the multiplication by $3P$.

$$Q=\frac{8-30P}{3P}$$

Divide $8-30P$ by $3P$.

$$Q=-10+\frac{8}{3P}$$

Variable $Q$ cannot be equal to $-10$.

$$Q=-10+\frac{8}{3P}\text{, }Q\neq -10$$

Show Solution

Basic Math

Pre-Algebra

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Trigonometry

Calculus

Precalculus

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Example

Question

Solve for P

Steps for Solving Linear Equation

Solve for Q

Steps for Solving Linear Equation