90.9k views
0 votes
. (4x + 2)2 = 2x2 + 16x + 4

User Ashareef
by
8.1k points

1 Answer

2 votes

Answer:

the solution to the equation (4x + 2)2 = 2x2 + 16x + 4 is x = 0

Explanation:

When we expand the left-hand side of the equation (4x + 2)2, we get:

(4x + 2)2 = (4x + 2)(4x + 2) = 16x2 + 8x + 8x + 4 = 16x2 + 16x + 4

So the equation becomes:

16x2 + 16x + 4 = 2x2 + 16x + 4

Next, we can subtract 2x2 + 16x + 4 from both sides:

16x2 + 16x + 4 - (2x2 + 16x + 4) = 0

After simplifying, we get:

16x2 + 16x + 4 - 2x2 - 16x - 4 = 0

Combine like terms:

(16x2 - 2x2) + (16x - 16x) + (4 - 4) = 0

14x2 + 0 + 0 = 0

Simplifying:

14x2 = 0

Finally, we divide both sides by 14:

14x2/14 = 0/14

x2 = 0

Taking the square root of both sides:

√x2 = √0

x = 0

So the solution to the equation (4x + 2)2 = 2x2 + 16x + 4 is x = 0.

User Evan Jones
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories