Solve Using the Square Root Property x(x-5)=66

Math
x(x-5)=66
Simplify x(x-5).
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Apply the distributive property.
x⋅x+x⋅-5=66
Simplify the expression.
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Multiply x by x.
x2+x⋅-5=66
Move -5 to the left of x.
x2-5x=66
x2-5x=66
x2-5x=66
Move 66 to the left side of the equation by subtracting it from both sides.
x2-5x-66=0
Factor x2-5x-66 using the AC method.
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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 -66 and whose sum is -5.
-11,6
Write the factored form using these integers.
(x-11)(x+6)=0
(x-11)(x+6)=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-11=0
x+6=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
x-11=0
Add 11 to both sides of the equation.
x=11
x=11
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x+6=0
Subtract 6 from both sides of the equation.
x=-6
x=-6
The final solution is all the values that make (x-11)(x+6)=0 true.
x=11,-6
Solve Using the Square Root Property x(x-5)=66

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