Solve Using the Square Root Property x^2+6x-43=-3

Math
x2+6x-43=-3
Move 3 to the left side of the equation by adding it to both sides.
x2+6x-43+3=0
Add -43 and 3.
x2+6x-40=0
Factor x2+6x-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 6.
-4,10
Write the factored form using these integers.
(x-4)(x+10)=0
(x-4)(x+10)=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-4=0
x+10=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
x-4=0
Add 4 to both sides of the equation.
x=4
x=4
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x+10=0
Subtract 10 from both sides of the equation.
x=-10
x=-10
The final solution is all the values that make (x-4)(x+10)=0 true.
x=4,-10
Solve Using the Square Root Property x^2+6x-43=-3

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