Solve using the Square Root Property 200x-x^2=40x+3375

Math
Set the equation equal to zero.
Tap for more steps…
Move all the expressions to the left side of the equation.
Tap for more steps…
Move to the left side of the equation by subtracting it from both sides.
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor the left side of the equation.
Tap for more steps…
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Replace the left side with the factored expression.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Tap for more steps…
Set the first factor equal to .
Subtract from both sides of the equation.
Multiply each term in by
Tap for more steps…
Multiply each term in by .
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Solve using the Square Root Property 200x-x^2=40x+3375

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top