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2.2 C Calculate the value of x if the product of x + 3 and 2x + 3 is 14 more then the product of x + 1 and 2x + 1.​

User Anil Meena
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Answer:

x = 1

Explanation:

To solve the given equation, we'll start by setting up the equation and simplifying it step by step:

The product of (x + 3) and (2x + 3) is 14 more than the product of (x + 1) and (2x + 1).

(x + 3)(2x + 3) = (x + 1)(2x + 1) + 14

Expanding both sides of the equation:

2x^2 + 3x + 6x + 9 = 2x^2 + x + 2x + 1 + 14

Combining like terms:

2x^2 + 9x + 9 = 2x^2 + 3x + 15

Subtracting (2x^2 + 3x + 15) from both sides:

2x^2 + 9x + 9 - 2x^2 - 3x - 15 = 0

Simplifying:

6x - 6 = 0

Adding 6 to both sides:

6x = 6

Dividing both sides by 6:

x = 1

Therefore, the value of x that satisfies the equation is x = 1.

Hope this helps!

User Roelofs
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