How to solve 5q = 10p - 6pq

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 5q = 10p - 6pq | Equatix

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Question

$$5q=10p-6pq$$

Solve for p

$p=-\frac{5q}{2\left(3q-5\right)}$
$q\neq \frac{5}{3}$

Steps for Solving Linear Equation

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

$$10p-6pq=5q$$

Combine all terms containing $p$.

$$\left(10-6q\right)p=5q$$

Divide both sides by $10-6q$.

$$\frac{\left(10-6q\right)p}{10-6q}=\frac{5q}{10-6q}$$

Dividing by $10-6q$ undoes the multiplication by $10-6q$.

$$p=\frac{5q}{10-6q}$$

Divide $5q$ by $10-6q$.

$$p=\frac{5q}{2\left(5-3q\right)}$$

Show Solution

Solve for q

$q=\frac{10p}{6p+5}$
$p\neq -\frac{5}{6}$

Steps for Solving Linear Equation

Add $6pq$ to both sides.

$$5q+6pq=10p$$

Combine all terms containing $q$.

$$\left(5+6p\right)q=10p$$

The equation is in standard form.

$$\left(6p+5\right)q=10p$$

Divide both sides by $5+6p$.

$$\frac{\left(6p+5\right)q}{6p+5}=\frac{10p}{6p+5}$$

Dividing by $5+6p$ undoes the multiplication by $5+6p$.

$$q=\frac{10p}{6p+5}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for p

Steps for Solving Linear Equation

Solve for q

Steps for Solving Linear Equation