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0t^{2}+4t+25=0
Multiply 0 and 2 to get 0.
0+4t+25=0
Anything times zero gives zero.
25+4t=0
Add 0 and 25 to get 25.
4t=-25
Subtract 25 from both sides. Anything subtracted from zero gives its negation.
t=\frac{-25}{4}
Divide both sides by 4.
t=-\frac{25}{4}
Fraction \frac{-25}{4} can be rewritten as -\frac{25}{4} by extracting the negative sign.