/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 36 Solve each equation using the ze... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 36

Solve each equation using the zero-product principle. \((x+9)(3 x-1)=0\)

Short Answer

Expert verified
The solutions for the given quadratic equation are \(x = -9\) and \(x = 1/3\).

Step by step solution

01

Apply the Zero-Product Property

From the zero-product property, the given equation \((x+9)(3x-1)=0\) implies that either \(x + 9 = 0\) or \(3x - 1 = 0\). Therefore, we can write two separate equations to find out the values of \(x\).
02

Solve for \(x\) from Equation \(x + 9 = 0\)

Subtracting 9 from both sides of the equation \(x + 9 = 0\), we obtain the value for \(x\) in the first equation as \(x=-9\).
03

Solve for \(x\) from Equation \(3x - 1 = 0\)

Adding 1 to both sides of the equation \(3x - 1 = 0\) gives \(3x = 1\). Dividing by 3 then gives the solution \(x = 1/3\) for the second equation.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve each equation by the method of your choice. \(2 x^{2}-9 x-3=9-9 x\)

Solve the equations in Exercises 53-72 using the quadratic formula. \(x^{2}+8 x+15=0\)

Solve the equations using the quadratic formula. \(x^{2}+5 x+2=0\)

Solve the quadratic equations by factoring. \(x^{2}-14 x=-49\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-8 x+32\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.