(x+7)(x+9)=(x+3)(x+21)

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+7)(x+9) = (x+3)(x+21)

This equation appears to be a quadratic equation, and we can solve it by expanding both sides and simplifying. Let's break down the steps:

1. Expanding the Products

• Left side: (x+7)(x+9) = x² + 9x + 7x + 63 = x² + 16x + 63
• Right side: (x+3)(x+21) = x² + 21x + 3x + 63 = x² + 24x + 63

2. Simplifying the Equation

Now, our equation looks like this: x² + 16x + 63 = x² + 24x + 63

3. Isolating the Variable

Let's subtract x² and 63 from both sides: 16x = 24x

4. Solving for x

Finally, subtract 16x from both sides to get: 0 = 8x

Dividing both sides by 8, we find: x = 0

Conclusion

Therefore, the solution to the equation (x+7)(x+9) = (x+3)(x+21) is x = 0.