0=16t^2-27t-10

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Solution for 0=16t^2-27t-10 equation: 


Simplifying
0 = 16t2 + -27t + -10

Reorder the terms:
0 = -10 + -27t + 16t2

Solving
0 = -10 + -27t + 16t2

Solving for variable 't'.

Combine like terms: 0 + 10 = 10
10 + 27t + -16t2 = -10 + -27t + 16t2 + 10 + 27t + -16t2

Reorder the terms:
10 + 27t + -16t2 = -10 + 10 + -27t + 27t + 16t2 + -16t2

Combine like terms: -10 + 10 = 0
10 + 27t + -16t2 = 0 + -27t + 27t + 16t2 + -16t2
10 + 27t + -16t2 = -27t + 27t + 16t2 + -16t2

Combine like terms: -27t + 27t = 0
10 + 27t + -16t2 = 0 + 16t2 + -16t2
10 + 27t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
10 + 27t + -16t2 = 0

Factor a trinomial.
(2 + -1t)(5 + 16t) = 0


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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2

Subproblem 2
Set the factor '(5 + 16t)' equal to zero and attempt to solve:

Simplifying
5 + 16t = 0

Solving
5 + 16t = 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 + 16t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 16t = 0 + -5
16t = 0 + -5

Combine like terms: 0 + -5 = -5
16t = -5

Divide each side by '16'.
t = -0.3125

Simplifying
t = -0.3125
Solution
t = {2, -0.3125}

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