step 1 The first thing we need to do to solve this equation is multiply the binomials on the left. So w

Solve. (x+6)(x-3)=-8

Name: Problem 338, Chapter 7: Elementary Algebra
Uploaded: 2021-07-21T21:01:24-08:00
Duration: 1 min 18 s
Channel: Katelyn Vandeaver
Description: Solve. (x+6)(x-3)=-8

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Key Concepts

Solving Quadratic Equations

Once an equation is in standard quadratic form, several methods can be used to find its solutions. Techniques include factoring the expression, completing the square, or applying the quadratic formula. Mastery of these methods is crucial in algebra as quadratic equations frequently arise in various mathematical contexts.

Binomial Expansion

This concept involves multiplying two binomials using the distributive property (or FOIL method) to simplify expressions. Expanding binomials is a foundational algebraic skill that allows one to convert products of linear factors into a quadratic or higher degree polynomial, making further manipulation and solving possible.

Standard Form of a Quadratic Equation

Rewriting an equation into its standard quadratic form means arranging it as ax² + bx + c = 0. This format is essential because it standardizes the equation, enabling the application of various solving techniques such as factoring, completing the square, or using the quadratic formula.

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