Solve by factoring: 2x^2 - 6x = 0??

Question

Solve by factoring:

2x^2 - 6x = 0

Thanks

Answer 1

Hi,

Notice here that there's a Common Factor of x on the left hand side of the equation. Factor out the common factor of x out of the left side to get:

x ( 2x - 6 ) = 0

At this point, notice that x can equal the following:

x = 0

AND...

2x - 6 = 0

2x = 6

x = 6 / 2 = 3

Therefore:

FINAL ANSWER: x = 0 and x = 3

I hope that helps you out! Please let me know if you have any other questions!

Sincerely,

Andrew

Answer 2

Your buddy is solid 6x^2 - 2x = 0 x is a undemanding ingredient, so take an x out x(6x - 2) = 0 Now, set the two factors equivalent to 0 x = 0 6x - 2 = 0 sparkling up for x x = 0 6x - 2 = 0 6x = 2 x = 2/6 x = a million/3 The x-intercepts would be 0 and a million/3, like your buddy stated. EDIT: confident, you're top, a is 6 and b is -2, in simple terms substitute x = -b/2a x = -(-2)/2(6) x = 4/12 x = a million/3, it is the x-coordinate of the vertex Now, substitute this into the equation to discover the y-coordinate. 6x^2 - 2x = y 6(a million/3)^2 - 2(a million/3) = y 6(a million/9) - (2/3) = y 2/3 - 2/3 = y 0 = y, the y-coordinate is 0 consequently, the vertex is (a million/3 , 0)

Answer 3

2x^2 - 6x = 2x(x-3)
x= 0 and x=3

Answer 4

Ans. 2x(x-3)=0 x=3.

Answer 5

2x^2-6x=0
2x(x-3)=0
x=0 or x=3

Answer 6

2x( x-3)=0

2x=0 (x-3)=0
x=0 x= 3

Answer 7

2x(x-3)=0
2x=0
2x=3
x=0 x=3/2

Answer 8

2x(x-3)=0

x=0
x=3

ok.