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5 votes
(2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x​

2 Answers

6 votes
Answer:

x = 12

Step by step explanation:

Let's start by simplifying the left-hand side of the equation:

(2x+1)(2x+6) - 7(x-2)
= 4x^2 + 14x + 6 - 7x + 14 (distributing the first two terms, and then simplifying the third term)
= 4x^2 + 7x + 20

Now, we can simplify the right-hand side of the equation:

4(x+1)(x-1) + 9x
= 4(x^2 - 1) + 9x (using the difference of squares formula)
= 4x^2 - 4 + 9x

Now, we can substitute both sides of the equation with their simplified expressions:

4x^2 + 7x + 20 = 4x^2 - 4 + 9x

We can simplify the equation by combining like terms:

7x + 20 = -4 + 9x

Subtracting 7x from both sides, we get:

20 = -4 + 2x

Adding 4 to both sides, we get:

24 = 2x

Dividing both sides by 2, we get:

x = 12

Therefore, the solution to the equation is x = 12.
User Sikandar Amla
by
9.1k points
3 votes

Answer:

You can't solve this equation.

Explanation:

Given the equation: (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x​

When you solve this, it will be either of the following answers.

So you can't fully solve this equation.

(2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x​-example-1
User Elkhan Dadashov
by
8.2k points