How to solve 7x(x+4y)+2y(x+4y)

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 7x(x+4y)+2y(x+4y) | Equatix

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$7x(x+4y)+2y(x+4y)$$

Evaluate

$\left(x+4y\right)\left(7x+2y\right)$

Solution Steps

Use the distributive property to multiply $7x$ by $x+4y$.

$$7x^{2}+28xy+2y\left(x+4y\right)$$

Use the distributive property to multiply $2y$ by $x+4y$.

$$7x^{2}+28xy+2yx+8y^{2}$$

Combine $28xy$ and $2yx$ to get $30xy$.

$$7x^{2}+30xy+8y^{2}$$

Show Solution

Expand

$7x^{2}+30xy+8y^{2}$

Solution Steps

Use the distributive property to multiply $7x$ by $x+4y$.

$$7x^{2}+28xy+2y\left(x+4y\right)$$

Use the distributive property to multiply $2y$ by $x+4y$.

$$7x^{2}+28xy+2yx+8y^{2}$$

Combine $28xy$ and $2yx$ to get $30xy$.

$$7x^{2}+30xy+8y^{2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps