Subtract from both sides of the equation.

Move to the left side of the equation by subtracting it from both sides.

Reorder and .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Multiply each term in by .

Simplify .

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Multiply by .

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

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.

Solve for y 16y=7y^2+32