# Find the Roots (Zeros) x^3+64=0 Subtract from both sides of the equation.
Move to the left side of the equation by adding it to both sides.
Factor the left side of the equation.
Rewrite as .
Since both terms are perfect cubes, factor using the sum of cubes formula, where and .
Simplify.
Multiply by .
Raise to the power of .
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 .
Subtract from both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Move to the left of .
Multiply by .
Simplify .
The final answer is the combination of both solutions.
The final solution is all the values that make true.
Find the Roots (Zeros) x^3+64=0
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