Solve Using the Square Root Property 0=-16t^2+66.4t

Math
0=-16t2+66.4t
Rewrite the equation as -16t2+66.4t=0.
-16t2+66.4t=0
Factor -0.8t out of -16t2+66.4t.
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Factor -0.8t out of -16t2.
-0.8t(20t)+66.4t=0
Factor -0.8t out of 66.4t.
-0.8t(20t)-0.8t⋅-83=0
Factor -0.8t out of -0.8t(20t)-0.8t(-83).
-0.8t(20t-83)=0
-0.8t(20t-83)=0
Divide each term by -0.8 and simplify.
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Divide each term in -0.8t(20t-83)=0 by -0.8.
-0.8t(20t-83)-0.8=0-0.8
Cancel the common factor of -0.8.
20t2-83t=0-0.8
Divide 0 by -0.8.
20t2-83t=0
20t2-83t=0
Factor t out of 20t2-83t.
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Factor t out of 20t2.
t(20t)-83t=0
Factor t out of -83t.
t(20t)+t⋅-83=0
Factor t out of t(20t)+t⋅-83.
t(20t-83)=0
t(20t-83)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
t=0
20t-83=0
Set the first factor equal to 0.
t=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
20t-83=0
Add 83 to both sides of the equation.
20t=83
Divide each term by 20 and simplify.
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Divide each term in 20t=83 by 20.
20t20=8320
Cancel the common factor of 20.
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Cancel the common factor.
20t20=8320
Divide t by 1.
t=8320
t=8320
t=8320
t=8320
The final solution is all the values that make t(20t-83)=0 true.
t=0,8320
Solve Using the Square Root Property 0=-16t^2+66.4t

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