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Hi,
-x^2=2x-15
same as:(Adding x^2 to both sidess of the EQ)
x^2 +2x-15 = 0
factoring
(x+5)(x-3) = 0
(x+5) =0, x= -5
(x-3) = 0, x = 3
May check factoring using the FOIL method
F First terms x^2
O Outside terms -3x
I Inside terms 5x
L Last terms -15