Question

6v^2+13v-8= −3 solve the equation for all real solutions

Answer 1

v = -5/2, 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Standard Form: ax² + bx + c = 0
• Factoring
• Quadratic Binomial Roots

Explanation:

Step 1: Define

6v² + 13v - 8 = -3

Step 2: Solve for v

1. Add 3 to both sides: 6v² + 13v - 5 = 0
2. Factor: (2v + 5)(3x - 1) = 0
3. Find roots: v = -5/2, 1/3