# Solve Using the Square Root Property x^2-x=56 x2-x=56
Move 56 to the left side of the equation by subtracting it from both sides.
x2-x-56=0
Factor x2-x-56 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -56 and whose sum is -1.
-8,7
Write the factored form using these integers.
(x-8)(x+7)=0
(x-8)(x+7)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x-8=0
x+7=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x-8=0
Add 8 to both sides of the equation.
x=8
x=8
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
x+7=0
Subtract 7 from both sides of the equation.
x=-7
x=-7
The final solution is all the values that make (x-8)(x+7)=0 true.
x=8,-7
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