Algebra 1, Please Help!

Question

Liam uses these four steps to solve the equation: 2x(x+3)=6x + 4. Identify the mathematical properties Liam uses to justify each step.

Step 1	2x2+6x=6x+42x2+6x=6x+4
Step 2	2x2=42x2=4
Step 3	x2=2x2=2
Step 4	x=±2–√

Answer 1

I agree with the other tutor Raymond's answer. I just want to add a couple of comments.

First, I agree that the four steps as I see them are confusing. These might be just online glitches, but it looks as if some things were copied-and-pasted twice in the right-hand column, and the last step has symbols out of order. But I believe I'm following what the steps should be (and Raymond repeated them corrected in his answer).

Your teacher might want the names of the properties used in each step, not just an explanation for each step. So, just in case you need this:

The "Distribution Property" might be called the Distributive Property by your teacher.

"Subtract 6x from both sides" is using the Subtraction Property of Equality.

"Take the square root of both sides" is using the Square Root Property. (So, Step 4 should be: x = ±√2.)

Answer 2

2x(x+3) = 6x +4

distribution propert on left side

2x^2 + 6x = 6x +4

subtract 6x from both sides

x^2 = 2

take the square root of both sides

x = + or - sqr2

Liam's 4 steps look confusing and incorrect

last lines suggest he found + or - sqr(-2) which is wrong