Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)

Let's apply the quadratic formula:

⇒

x

=

−

4

±

√

4

2

−

4

(

2

)

(

−

30

)

2

(

2

)

⇒

x

=

−

4

±

√

16

+

240

4

⇒

x

=

−

4

±

√

256

4

⇒

x

=

−

4

±

16

4

⇒

x

=

−

1

±

4

⇒

x

=

−

5

,

3

Therefore, the solutions to the equation are

x

=

−

5

and

x

=

3

.

.

Step-by-step explanation:

Explanation:

All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.

2

x

2

+

4

x

−

30

=

0

x

2

+

2

x

−

15

=

0

Try to factor before we use loner methods of the quadratic formula or completing the square.

Find factors of 15 which subtract (because of -15) to give 2.

The signs will be different (because of -15), there must be more positives. (because of +2)

5 and 3 will work!

5

×

3

=

15

and

5

−

3

=

2

(

x

+

5

)

(

x

−

3

)

=

0

Putting each factor equal to 0 gives the solutions:

x

=

−

5

or

x

=

3

(x+3)(x-5)

Step-by-step explanation:

2x²-4x-30 = 0

devide by 2

; x²-2x-15 = 0

(x+3)(x-5) = 0

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent