# Solve by Completing the Square -4x^2+16x=19 Divide each term by and simplify.
Divide each term in by .
Simplify each term.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Factor out of .
Move the negative one from the denominator of .
Rewrite as .
Multiply by .
Move the negative in front of the fraction.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
Raise to the power of .
Simplify .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Move the negative in front of the fraction.
Factor the perfect trinomial square into .
Solve the equation for .
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Rewrite as .
Rewrite as .
Factor the perfect power out of .
Factor the perfect power out of .
Rearrange the fraction .
Rewrite as .
Pull terms out from under the radical.
Combine and .
Remove parentheses.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Reorder and .
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