Solve Using the Square Root Property x^2-12x+36=64

Math
x2-12x+36=64
Move 64 to the left side of the equation by subtracting it from both sides.
x2-12x+36-64=0
Subtract 64 from 36.
x2-12x-28=0
Factor x2-12x-28 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 -28 and whose sum is -12.
-14,2
Write the factored form using these integers.
(x-14)(x+2)=0
(x-14)(x+2)=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-14=0
x+2=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
x-14=0
Add 14 to both sides of the equation.
x=14
x=14
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x+2=0
Subtract 2 from both sides of the equation.
x=-2
x=-2
The final solution is all the values that make (x-14)(x+2)=0 true.
x=14,-2
Solve Using the Square Root Property x^2-12x+36=64

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