Respuesta :

Space

Answer:

x = 1/2,  7/2

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

  • Completing the Square: (b/2)²
  • Factoring

Step-by-step explanation:

Step 1: Define

4x² - 16x + 5 = -2

Step 2: Solve for x

  1. Isolate x terms:                    4x² - 16x = -7
  2. Factor GCF:                         4(x² - 4x) = -7
  3. Isolate x terms:                    x² - 4x = -7/4
  4. Complete the Square:        x² - 4x + 4 = -7/4 + 4
  5. Simplify:                               (x - 2)² = 9/4
  6. Square root both sides:      x - 2 = ±3/2
  7. Isolate x:                              x = 2 ± 3/2
  8. Evaluate:                              x = 1/2,  7/2

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