Using factor method divide
x square - 8x - 65 by x + 5
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Popular Problems Algebra Solve by Factoring x^2+8x-65=x-5
x2+8x−65=x−5
Move all the expressions to the left side of the equation.
x2+8x−65−x+5=0
Simplify x2+8x−65−x+5.
Subtract x from 8x.x2+7x−65+5=0
Add −65 and 5.x2+7x−60=0Subtract x from 8x.x2+7x−65+5=
Add −65 and 5.x2+7x−60=0
Factor x2+7x−60
using the AC method.
(x−5)(x+12)=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−5=0x+12=0
Set the first factor equal to
0
and solve.
x=5
Set the next factor equal to
0
and solve.
x=−12
The final solution is all the values that make
(x−5)(x+12)=0 true.x=5,−12
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