Question

To solve the equation below by completing the square, what is your first step? 2x^2+12x=32

Answer 1

@mathstudent55 @calculusxy

Answer 2

@ganeshie8

Answer 3

^2

Answer 4

@mathstudent55

Answer 5

I'd factor the 2

Answer 6

I gave you the answer?

Answer 7

i dont have either of those as a anwser

Answer 8

Do the first one!

Answer 9

@Ms-Brains

Answer 10

multiplying by 1/2 is the same thing as dividing by 2

Answer 11

@563blackghost

Answer 12

Let me see. Hold on for sec.

Answer 13

ok

Answer 14

You need x^2, not 2x^2.
To get that, you need to divide the entire equation by 2.
Multiplying by 1/2 is the same as dividing by 2.

Answer 15

ok thanks

Answer 16

So we would do....

\(\Huge{\frac{2x^{2} + 12x~ =~ 32}{2}}\)

Answer 17

So it would simplify to

\(\Huge{x^{2} + 6x = 16}\) Which we want. Now we would subtract 16 from the right side and add -16 to the left side....

\(\Huge{x^{2} + 6x -16=0}\)

This is what we want.

Now we determine what x could be.

Answer 18

After you have the x^2 term as simply x^2 with no coefficient, keep the x^2 term and the x term on the left side, and move the number to the right side.

Answer 19

\(\Huge{x^{2} + 6x = 16}\)

Now to complete the square, we take half of the x-term coefficient, and we square it.
Half of 6 is 3. Square 3 to get 9.
We add this to both sides:

\(\Huge x^{2} + 6x \color{red}{+9}= 16 \color{red}{+9}\)

That was the step that completed the square.
Now we can simplify the right side, and rewrite the left side as the square of a binomial.

Answer 20

\(\Huge (x + 3)^2 = 25\)