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The solution to the equation \( x(4x + 11) - 4(x^2 + 7) = 49 \) is \( x = 7 \).

Would you like a detailed breakdown of the solution process, or do you have any further questions?

Here are 5 related questions to expand your understanding:

1. How do you simplify an equation with parentheses like this one?
2. Can there be multiple solutions to similar types of quadratic equations?
3. How do you verify that \( x = 7 \) is the correct solution?
4. What happens if we rearrange the terms in the original equation?
5. How would this equation change if it were set equal to 0 instead of 49?

**Tip:** When solving equations with parentheses, always distribute terms first to avoid mistakes during simplification.

Solve the following equation to find the value of x: x(4x + 11) - 4(x^2 + 7) = 49

Learn how to solve the quadratic equation x(4x + 11) - 4(x^2 + 7) = 49 with a step-by-step solution. This problem covers key algebraic concepts, including the distributive property, simplification, and solving quadratic equations. Suitable for students in Grades 9-11.

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