Solve using the Square Root Property x^2-x=42

Math
x2-x=42
Move 42 to the left side of the equation by subtracting it from both sides.
x2-x-42=0
Factor x2-x-42 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 -42 and whose sum is -1.
-7,6
Write the factored form using these integers.
(x-7)(x+6)=0
(x-7)(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-7=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-7=0
Add 7 to both sides of the equation.
x=7
x=7
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-7)(x+6)=0 true.
x=7,-6
Solve using the Square Root Property x^2-x=42

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