Choose the most appropriate explanation for line 4. line 1 4x 2 = 6x line 2 4x 2 - 6x = 0 addition property of equality line 3 2x(2x-3) = 0 distributive property line 4 2x = 0 or 2x - 3 = 0 x = 0 or 2x = 3 x =

Zero product property is the most appropriate explanation for Line 4

Step-by-step explanation:

Given the equation:

Line 1.

                 [Given]

Line 2.

Addition property of equality states that you add same number to both sides of an equation.

Add -6x to both sides we have;

Line 3.

Using the distributive property:

then;

Line 4.

Zero product property states that if xy = 0 then either x = 0 or y = 0

by zero product property we have;

2x = 0 or 2x -3

⇒x = 0 or 2x = 3

⇒x = 0 or x = 3/2

Therefore, the most appropriate explanation for Line 4 is, Zero product property