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this is a quadratic so convert it so there s 0 on right hand side: x^2 + x - 20 = 0 now you can factor this to the form (x + a)(x - b) = 0
no ab must equal -20 and a + b must equal +1 (because we +x in the middle ie +1x)
get it?
think of some factors of -20 theres -5 * 4 or 5 * -4 or 2 * -10 or -2 * 10 for example which one adds up to +1?
-2 + 10 = +8 ? - nope that's no good
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can you see the correct one?
is it the first one -5 and 4?
right so the factors are (x + 5)(x - 4) and this = 0
now when to thing are multiplied together and they = 0 then either one is 0 or the other is so x+5 = 0 or x - 4 = 0 solve these 2 equations and you have your solution set
* two things
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