(x-7)%3D-3x-in-standard-form.jpeg "(x+7)(x-7)=-3x In Standard Form")
Solving the Equation (x+7)(x-7) = -3x
This equation involves expanding the left-hand side, combining like terms, and then setting the equation to zero. Here's how we can solve it:
1. Expand the left-hand side:
- Using the difference of squares pattern: (a + b)(a - b) = a² - b²
- Applying this to our equation: (x + 7)(x - 7) = x² - 7² = x² - 49
2. Rewrite the equation:
- Our equation becomes: x² - 49 = -3x
3. Move all terms to one side:
- Add 3x to both sides: x² + 3x - 49 = 0
4. Standard Form:
- The equation is now in standard quadratic form: ax² + bx + c = 0, where a = 1, b = 3, and c = -49.
Therefore, the equation (x+7)(x-7) = -3x in standard form is x² + 3x - 49 = 0.
Note: This equation can be solved using the quadratic formula to find the values of x.