Solve using the Square Root Property 0=x^2-3x-40

Math
0=x2-3x-40
Rewrite the equation as x2-3x-40=0.
x2-3x-40=0
Factor x2-3x-40 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 -40 and whose sum is -3.
-8,5
Write the factored form using these integers.
(x-8)(x+5)=0
(x-8)(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-8=0
x+5=0
Set the first factor equal to 0 and solve.
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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.
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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-8)(x+5)=0 true.
x=8,-5
Solve using the Square Root Property 0=x^2-3x-40

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