How to solve (5m)/2 + 3 = 1/5

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 (5m)/2 + 3 = 1/5 | 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

$$\frac{5m}{2}+3=\frac{1}{5}$$

Solve for m

$m = -\frac{28}{25} = -1\frac{3}{25} = -1.12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $2,5$.

$$5\times 5m+30=2$$

Multiply $5$ and $5$ to get $25$.

$$25m+30=2$$

Subtract $30$ from both sides.

$$25m=2-30$$

Subtract $30$ from $2$ to get $-28$.

$$25m=-28$$

Divide both sides by $25$.

$$m=\frac{-28}{25}$$

Fraction $\frac{-28}{25}$ can be rewritten as $-\frac{28}{25}$ by extracting the negative sign.

$$m=-\frac{28}{25}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for m

Steps for Solving Linear Equation