Solve by Factoring (x-4)^(2/3)=16

Math
Move to the left side of the equation by subtracting it from both sides.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Subtract from both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Solve the equation for .
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Raise to the power of .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Add to both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Solve the equation for .
Tap for more steps…
Raise to the power of .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Add to both sides of the equation.
Add and .
The final solution is all the values that make true.
Solve by Factoring (x-4)^(2/3)=16

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