Answer:
[tex]x=-2.35078, 0.850781[/tex]
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
Algebra I
- Standard Form: ax² + bx + c = 0
- Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
Step 1: Define equation
-3x = 2x² - 4
Step 2: Rewrite into Standard Form
0 = 2x² + 3x - 4
Step 3: Define variables
a = 2
b = 3
c = -4
Step 4: Find x
- Substitute: [tex]x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}[/tex]
- Evaluate: [tex]x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}[/tex]
- Multiply: [tex]x=\frac{-3\pm\sqrt{9+32} }{4}[/tex]
- Add: [tex]x=\frac{-3\pm\sqrt{41} }{4}[/tex]
- Evaluate: [tex]x=\frac{-3\pm6.40312}{4}[/tex]
- Evaluate: [tex]x=-2.35078, 0.850781[/tex]
And we have our final answer!
