Rewrite the equation as -16t2+66.4t=0.
Factor -0.8t out of -16t2+66.4t.
Factor -0.8t out of -16t2.
Factor -0.8t out of 66.4t.
Factor -0.8t out of -0.8t(20t)-0.8t(-83).
Divide each term by -0.8 and simplify.
Divide each term in -0.8t(20t-83)=0 by -0.8.
Cancel the common factor of -0.8.
Divide 0 by -0.8.
Factor t out of 20t2-83t.
Factor t out of 20t2.
Factor t out of -83t.
Factor t out of t(20t)+t⋅-83.
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
Set the first factor equal to 0.
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
Add 83 to both sides of the equation.
Divide each term by 20 and simplify.
Divide each term in 20t=83 by 20.
Cancel the common factor of 20.
Cancel the common factor.
Divide t by 1.
The final solution is all the values that make t(20t-83)=0 true.
Solve Using the Square Root Property 0=-16t^2+66.4t