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How do you solve #3x^2 - 6x = 0#?

Answer 1

Nathan Axel

x = 0 , x = 2

Factorise the left side and equate each of the factors to zero.

#3x^2-6x=0rArr3x(x-2)=0#

solve 3x = 0 #rArrx=0#

solve x - 2 = 0 #rArrx=2#

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Answer 2

Eva Abramson

To solve the equation 3x^2 - 6x = 0, you can factor out the common term x:

3x(x - 2) = 0

Then, you set each factor equal to zero:

3x = 0 Divide both sides by 3: x = 0
x - 2 = 0 Add 2 to both sides: x = 2

Therefore, the solutions to the equation 3x^2 - 6x = 0 are x = 0 and x = 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.