Solve for a (a^2+15a)^(1/3)=3(a-1)^(1/3)

Eliminate the fractional exponents by multiplying both exponents by the LCD.
Simplify .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Move to the left side of the equation by adding it to 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 .
Add to both sides of the equation.
The final solution is all the values that make true.
Solve for a (a^2+15a)^(1/3)=3(a-1)^(1/3)

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