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To solve the given expression \( -2x^2 + 5x - 7 \) for \( x = -3 \), we substitute \( x = -3 \) into the expression and simplify step by step:

1. Substitute \( x = -3 \):
   \[
   -2(-3)^2 + 5(-3) - 7
   \]

2. Simplify the powers and multiplication:
   \[
   -2(9) + 5(-3) - 7
   \]
   \[
   -18 - 15 - 7
   \]

3. Combine the terms:
   \[
   -18 - 15 = -33
   \]
   \[
   -33 - 7 = -40
   \]

So, the value of the expression when \( x = -3 \) is \( -40 \).

Would you like further details on how these steps were performed or have any questions?

Here are 5 related questions to explore further:

1. What happens if we change \( x = 2 \) in the same expression?
2. How can we generalize this process for any quadratic expression?
3. What is the significance of the coefficients in a quadratic expression?
4. How can factoring help in solving quadratic equations?
5. Can we solve for when the expression equals zero?

**Tip:** When substituting values into expressions, always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Evaluate the following expression for x = -3: -2x^2 + 5x - 7.

Learn how to evaluate the expression -2x^2 + 5x - 7 for x = -3. This step-by-step guide shows the process of substitution and simplification. Perfect for students in Grades 7-9 studying quadratic equations and algebra.

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