Math Problem Statement

Simplify the equation: 6x^2 - 9x^2 - 4x - 4

Solution

The equation visible in the image is:

6x29x24x46x^2 - 9x^2 - 4x - 4

Now, simplifying this:

  1. Combine like terms for the x2x^2 terms: 6x29x2=3x26x^2 - 9x^2 = -3x^2

    Now the equation becomes: 3x24x4-3x^2 - 4x - 4

This is the simplified form of the given expression.

Would you like further details on this process or any additional steps? Here are five related questions that might interest you:

  1. How do we factor a quadratic expression like this one?
  2. How can we find the roots of this quadratic equation?
  3. What is the graphical representation of this quadratic function?
  4. How do we complete the square for this quadratic expression?
  5. How does the discriminant help in analyzing the solutions?

Tip: Always simplify the expression first by combining like terms to reduce complexity before solving or analyzing further.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Quadratic Equations

Formulas

ax^2 + bx + c = 0

Theorems

Basic algebraic manipulation

Suitable Grade Level

Grades 7-9