To remove the radical on the left side of the equation, square both sides of the equation.

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 product rule to .

Raise to the power of .

Multiply by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Add and .

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for t square root of t^2+24t+6=-t