Question

4 - 2x³ + 6x³ = -496

Explanation:

Step1: Combine like terms

Combine the \(x^3\) terms: \(-2x^3 + 6x^3 = 4x^3\), so the equation becomes \(4 + 4x^3 = -496\).

Step2: Subtract 4 from both sides

Subtract 4 from each side: \(4x^3 = -496 - 4\), which simplifies to \(4x^3 = -500\).

Step3: Divide by 4

Divide both sides by 4: \(x^3 = \frac{-500}{4} = -125\).

Step4: Take the cube root

Take the cube root of both sides: \(x = \sqrt[3]{-125} = -5\).

Answer:

\(x = -5\)