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X^2+x-30=0

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2 Answers

Factor the expression:
 
            x2 +x - 30 = (x+6)(x-5) = 0
 
(because 6 and -5 are factors of -30 that make 6x - 5x = x - second term)
 
The product of two terms is zero if both are equal to zero or one of them.
 
It gives you x+6 = 0 and x-5 = 0 or
 
            x = -6   and x = 5
 
Check the answer by substituting these numbers back into the expression. Both satisfy.