How to solve the equation for x^2 - 3x = 0?

Ryann Hart

Ryann Hart

Answered question

2023-03-15

How to solve the equation for x 2 - 3 x = 0 ?

Answer & Explanation

Sterling Cameron

Sterling Cameron

Beginner2023-03-16Added 6 answers

x 2 - 3 x = 0
x ( x - 3 ) = 0 ( x was a common factor to both the terms)
In general, if a b = 0 , then either a = 0 or b = 0
So here,
x = 0 or x - 3 = 0
x = 0 or x = 3 is the correct Solution.
N o t e :
Here's a classic M i s t a k e that many students make:Transpose 3 x to the right hand side
x 2 = 3 x
Divide both sides by x will give us x = 3 (Incorrect/Incomplete)
This is a m i s t a k e because we CANNOT divide by x unless we are sure about it not being equal to zero.
Anastasia Macdonald

Anastasia Macdonald

Beginner2023-03-17Added 4 answers

We must first factorize the equation in order to determine x .
x 2 - 3 x = 0
As x is the common factor between the 2 values, we factorize the equation by taking x out of x 2 - 3 x = 0
x 2 - 3 x = 0
x ( x - 3 ) = 0
Any value that is multiplied by 0, will give 0 as the answer.
1 × 0 = 0 2 × 0 = 0 3 × 0 = 0
From here, we know that in x ( x - 3 ) = 0 ,
x = 0 and ( x - 3 ) = 0
( x - 3 ) = 0
x = 3
Hence x = 0 and x = 3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?