Subtract from both sides of the equation.

Add to both sides of the equation.

Subtract from .

Add and .

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

Subtract from .

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 .

Set the equal to .

Add to both sides of the equation.

Solve Using the Square Root Property 16x^2-15x+14=15x^2-11x+10