Question
Solve the equation
x=−3
Evaluate
x3−12=−39
Move the constant to the right-hand side and change its sign
x3=−39+12
Add the numbers
x3=−27
Take the 3-th root on both sides of the equation
3x3=3−27
Calculate
x=3−27
Solution
More Steps

Evaluate
3−27
An odd root of a negative radicand is always a negative
−327
Simplify the radical expression
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
−3
x=−3
Show Solution
