0=-16t^2+48t+640

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Solution for 0=-16t^2+48t+640 equation: 


Simplifying
0 = -16t2 + 48t + 640

Reorder the terms:
0 = 640 + 48t + -16t2

Solving
0 = 640 + 48t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -640 = -640
-640 + -48t + 16t2 = 640 + 48t + -16t2 + -640 + -48t + 16t2

Reorder the terms:
-640 + -48t + 16t2 = 640 + -640 + 48t + -48t + -16t2 + 16t2

Combine like terms: 640 + -640 = 0
-640 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2
-640 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2

Combine like terms: 48t + -48t = 0
-640 + -48t + 16t2 = 0 + -16t2 + 16t2
-640 + -48t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-640 + -48t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-40 + -3t + t2) = 0

Factor a trinomial.
16((-5 + -1t)(8 + -1t)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve:

Simplifying
-5 + -1t = 0

Solving
-5 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = 0 + 5
-1t = 0 + 5

Combine like terms: 0 + 5 = 5
-1t = 5

Divide each side by '-1'.
t = -5

Simplifying
t = -5

Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {-5, 8}

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