It looks like image generation isn't available at the moment, but I can still help you understand the mathematical concepts in your prompt or assist with any other related questions you might have. If you're interested, I can explain how to solve the types of equations you've mentioned or provide some examples and problem-solving techniques for linear equations, quadratic equations, and basic arithmetic.

Here's a breakdown of the equations you mentioned and how to approach solving them:

1. Linear Equations (e.g., $2x + 3 = 7$):

   • To solve this equation, isolate $x$ by subtracting 3 from both sides to get $2x = 4$. Then divide both sides by 2 to find $x = 2$.

2. Quadratic Equations (e.g., $x^2 + 5x + 6 = 0$):

   • This can be factored as $(x + 2)(x + 3) = 0$. Setting each factor equal to zero gives the solutions $x = -2$ and $x = -3$.

3. Basic Arithmetic (e.g., $4 \times 3 = 12$):

   • This is a straightforward multiplication problem resulting in $12$.

Related Questions

1. What are the general steps for solving linear equations?
2. How do you factorize a quadratic equation like $x^2 + 5x + 6 = 0$?
3. What methods can be used if a quadratic equation cannot be easily factored?
4. Can linear equations have more than one solution, and why or why not?
5. How do basic arithmetic operations play a role in solving algebraic equations?

Tip: When working with quadratic equations, always check if they can be factored easily. If not, consider using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a$, $b$, and $c$ are coefficients from the equation $ax^2 + bx + c = 0$.

Let me know if you want more details on any of these concepts or if you have other questions!