SOLUTION: solve for x using the factoring method: 18x^3=2x

Question 228522: solve for x using the factoring method: 18x^3=2x

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Solve for x using the factoring method:

Step 1. Subtract 2x from both sides of the equation

Step 2. Look at the numbers which has 2 as a common factor. Then,

Step 3. Look at the variable x which has x as a common factor. Then,

.

Step 4. But which is recognized as the difference of squares. As a result we have,

Step 5. This implies , and .

Add 1 to both sides of to get .

Divide by 3 to both sides of the equation to get

Subtract 1 to both sides of to get

Divide by 3 to both sides of the equation to get

Step 6. ANSWER: The solution is , and .

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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