# Solve by Factoring (x^2+78x)^(1/5)=3

Move to the left side of the equation by subtracting it from both sides.
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 .
Raise to the power of .
Move to the left side of the equation by subtracting it from both sides.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
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.
Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
Solve by Factoring (x^2+78x)^(1/5)=3

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