Can someone Help me with this: Felipe’s solution to an equation is shown below:

Given: x^2+6x+8=0

Step 1: (x+2)(x+4)=0

Step 2: x+2=0 or x+4=0

Step 3: x= -2 or x= -4

Which property of real numbers did Felipe’s use for step 2?

A. Distributive property of multiplication over addition

B: Multiplication property of equality

C. Commutative property of multiplication

D: Zero product of multiplication

D. Zero product of multiplication

Step-by-step explanation:

The given equation is presented as follows;

Given: x² + 6·x + 8 = 0

By factorization, to find numbers represented by variables, 'a' and 'b', such that  a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation

Step 1: (x + 2)·(x + 4) = 0

Given that (x + 2) × (x + 4) = 0, we have

Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication

The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero

Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0

By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0

Therefore, we have;

Therefore;

Step 3: x = -2 or x = -4

The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3