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 .

Replace the left side with the factored expression.

Set the 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.

Raise to the power of .

Solve for a a^(1/2)-10a^(1/4)=-25