,

Replace all occurrences of in with .

Simplify .

Simplify each term.

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Subtract from .

Move all terms to the left side of the equation and simplify.

Subtract from both sides of the equation.

Subtract from .

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 .

Pull terms out from under the radical, assuming positive real numbers.

Move to the left of .

Multiply by .

Simplify .

Move the negative one from the denominator of .

Rewrite as .

Simplify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Move to the left of .

Multiply by .

Simplify .

Move the negative one from the denominator of .

Rewrite as .

Change the to .

Apply the distributive property.

Multiply by .

Multiply by .

Simplify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Move to the left of .

Multiply by .

Simplify .

Move the negative one from the denominator of .

Rewrite as .

Change the to .

Apply the distributive property.

Multiply by .

Multiply by .

The final answer is the combination of both solutions.

Replace all occurrences of in with .

Simplify .

Simplify each term.

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Subtract from .

Add and .

Apply the distributive property.

Multiply by .

Multiply by .

Simplify by adding terms.

Subtract from .

Add and .

Subtract from .

Replace all occurrences of in with .

Simplify .

Simplify each term.

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Subtract from .

Subtract from .

Apply the distributive property.

Multiply by .

Multiply by .

Simplify by adding terms.

Subtract from .

Add and .

Add and .

List all of the solutions.

Solve by Substitution y=x^2+12x+30 , 8x-y=10