0=-16t^2+127t+8

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Solution for 0=-16t^2+127t+8 equation: 


Simplifying
0 = -16t2 + 127t + 8

Reorder the terms:
0 = 8 + 127t + -16t2

Solving
0 = 8 + 127t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -8 = -8
-8 + -127t + 16t2 = 8 + 127t + -16t2 + -8 + -127t + 16t2

Reorder the terms:
-8 + -127t + 16t2 = 8 + -8 + 127t + -127t + -16t2 + 16t2

Combine like terms: 8 + -8 = 0
-8 + -127t + 16t2 = 0 + 127t + -127t + -16t2 + 16t2
-8 + -127t + 16t2 = 127t + -127t + -16t2 + 16t2

Combine like terms: 127t + -127t = 0
-8 + -127t + 16t2 = 0 + -16t2 + 16t2
-8 + -127t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-8 + -127t + 16t2 = 0

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


Subproblem 1
Set the factor '(-1 + -16t)' equal to zero and attempt to solve:

Simplifying
-1 + -16t = 0

Solving
-1 + -16t = 0

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

Add '1' to each side of the equation.
-1 + 1 + -16t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16t = 0 + 1
-16t = 0 + 1

Combine like terms: 0 + 1 = 1
-16t = 1

Divide each side by '-16'.
t = -0.0625

Simplifying
t = -0.0625

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 = {-0.0625, 8}

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