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0x^{2}+5x-8=0
Multiply 0 and 25 to get 0.
0+5x-8=0
Anything times zero gives zero.
-8+5x=0
Subtract 8 from 0 to get -8.
5x=8
Add 8 to both sides. Anything plus zero gives itself.
x=\frac{8}{5}
Divide both sides by 5.