# Solve by Factoring x^4-8x^2=-16 Move to the left side of the equation by adding it to both sides.
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Replace all occurrences of with .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Apply the product rule to .
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 .
Set the equal to .
Subtract from both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Set the equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
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