Solve equation by using the quadratic formula 25x^2 + 35x = -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: Multiple Roots

Step-by-step explanation:

Step 1: Define

25x² + 35x = -12

Step 2: Rewrite

[Addition Property of Equality] Add 12 on both sides:                                 25x² + 35x + 12 = 0

Step 3: Identify

Identify Variable Parts.

a = 25, b = 35, c = 12

Step 4: Solve for x

Substitute in variables [Quadratic Formula]:                                                [Numerator - √Radical] Evaluate exponents:                                               [Numerator - √Radical] Multiply:                                                                   [Numerator - √Radical] Subtract:                                                                  [Denominator] Multiply:                                                                                  [Numerator - √Radical] Evaluate:                                                                  Evaluate:                                                                                                        

The answer would be $68.04