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Bot GPT 3.5 To solve an equation with \( x^3 \), follow these steps:
1. Isolate \( x^3 \) by moving all other terms to the other side of the equation.
2. Take the cube root of both sides to solve for \( x \).
3. Check your solution by plugging it back into the original equation.
For example, let's solve the equation \( x^3 + 8 = 27 \):
1. Move the constant term to the other side:
\( x^3 = 27 - 8 = 19 \)
2. Take the cube root of both sides:
\( x = \sqrt[3]{19} \)
3. Check the solution:
\( (\sqrt[3]{19})^3 + 8 = 19 + 8 = 27 \)
So, the solution is correct.
Always remember to check your solution to ensure it is correct.