# Solve Using the Square Root Property x(x-4)=45

x(x-4)=45
Simplify x(x-4).
Apply the distributive property.
x⋅x+x⋅-4=45
Simplify the expression.
Multiply x by x.
x2+x⋅-4=45
Move -4 to the left of x.
x2-4x=45
x2-4x=45
x2-4x=45
Move 45 to the left side of the equation by subtracting it from both sides.
x2-4x-45=0
Factor x2-4x-45 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 -45 and whose sum is -4.
-9,5
Write the factored form using these integers.
(x-9)(x+5)=0
(x-9)(x+5)=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-9=0
x+5=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x-9=0
Add 9 to both sides of the equation.
x=9
x=9
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
x+5=0
Subtract 5 from both sides of the equation.
x=-5
x=-5
The final solution is all the values that make (x-9)(x+5)=0 true.
x=9,-5
Solve Using the Square Root Property x(x-4)=45

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