Final answer:
To solve the equation 3(x^3)=-6x^3-6, distribute the 3 to both terms, combine like terms, divide both sides by 9, and take the cube root to solve for x.
Step-by-step explanation:
To solve the equation 3(x^3)=-6x^3-6, we want to isolate x. We can do this by combining like terms and performing operations to simplify the equation.
- Distribute the 3 to both terms in the equation:
- 3x^3 = -6x^3 - 6
- Add 6x^3 to both sides of the equation to eliminate it from the right side:
- 3x^3 + 6x^3 = -6
- Combine like terms on the left side of the equation:
- 9x^3 = -6
- Divide both sides of the equation by 9 to solve for x:
- x^3 = -6/9
- Simplify the right side of the equation:
- x^3 = -2/3
- To find the value of x, we can take the cube root of both sides:
- x = cube root of (-2/3)
- x= -0.8735