64s^2+48s=-9

## Solve the equation for s

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# 1 Answer

Your equation is equivalent to this equation:

64s

^{2}+48s+9=0;I would like to show you here that this equation can be solved easily if you can observe something special about this equation.

64s

^{2}+48s+9=(8s)^{2}+2*8s*3+3^{2}=(8s+3)^{2}=0The complete square equals zero if and only if the squared number is zero. Therefore,

**8s+3=0**or

**s=-3/8=-0.375**

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