# Algebra Lessons

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We know Algebra is a branch of mathematics. We know Algebra mostly related to numbers and variables. In
Algebra we have a number of lessons. Those are

1.    Algebra Basics

In this we have Equation Basics, Proportion Basics and Word problem Basics.

2.    Simplifying

Simplifying introduction, simplifying multiple signs, combining like terms, Multiplication.

3.    Substitution

4.    Factoring

Example 1: Solve the equation x^2 – 11x + 10 = 0

Solution: The given equation isx^2 – 11x + 10 = 0

We know, this is a quadratic equation in terms of x

To solve this, we need to write the middle term as two parts.

We can write the middle term– 11x into two parts, those are - 10 x - x.

Since the addition of -10x and –x is – 11x and product of – 10x and –x is 10 x^2

We can write the given equation as, x^2 – 10x - x + 10 = 0

x (x – 10) – 1 (x – 10) = 0

(x – 10) (x – 1) = 0

X = 10 and 1.

Example 2: Solve the equation x^2 – 5x + 6 = 0

Solution: The given equation is x^2 – 5x + 6 = 0

We know, this is a quadratic equation in terms of x

To solve this, we need to write the middle term as two parts.

We can write the middle term – 5x into two parts, those are - 3x – 2x.

We can write the given equation as, x^2 – 3x - 2x + 6 = 0

x (x – 3) – 2 (x – 3) = 0

(x – 3) (x – 2) = 0

X = 3 and 2.