14. Solve for $$ x $$ in the equation $$ 2 x^{3}-5=-255 $$

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 2x^{3} - 5 = -255 $$ for $$ x $$, follow these steps:

1. **Start with the given equation:**
   $$
   2x^{3} - 5 = -255
   $$

2. **Add 5 to both sides to isolate the term with $$ x $$:**
   $$
   2x^{3} = -255 + 5
   $$
   $$
   2x^{3} = -250
   $$

3. **Divide both sides by 2 to solve for $$ x^{3} $$:**
   $$
   x^{3} = \frac{-250}{2}
   $$
   $$
   x^{3} = -125
   $$

4. **Take the cube root of both sides to solve for $$ x $$:**
   $$
   x = \sqrt[3]{-125}
   $$
   $$
   x = -5
   $$

**Final Answer:**
$$
x = -5
$$
$$ x = -5 $$

14. Solve for \( x \) in the equation \( 2 x^{3}-5=-255 \)