How to solve x2-5x+6=0

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 x2-5x+6=0 | 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

$$x2-5x+6=0$$

Solve for x

$x=\frac{x_{2}+6}{5}$

Steps for Solving Linear Equation

Subtract $x_{2}$ from both sides. Anything subtracted from zero gives its negation.

$$-5x+6=-x_{2}$$

Subtract $6$ from both sides.

$$-5x=-x_{2}-6$$

Divide both sides by $-5$.

$$\frac{-5x}{-5}=\frac{-x_{2}-6}{-5}$$

Dividing by $-5$ undoes the multiplication by $-5$.

$$x=\frac{-x_{2}-6}{-5}$$

Divide $-x_{2}-6$ by $-5$.

$$x=\frac{x_{2}+6}{5}$$

Show Solution

Solve for x_2

$x_{2}=5x-6$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps for Solving Linear Equation

Solve for x_2

Solution Steps