0=16t^2-8t-15

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Solution for 0=16t^2-8t-15 equation:


Simplifying
0 = 16t2 + -8t + -15

Reorder the terms:
0 = -15 + -8t + 16t2

Solving
0 = -15 + -8t + 16t2

Solving for variable 't'.

Combine like terms: 0 + 15 = 15
15 + 8t + -16t2 = -15 + -8t + 16t2 + 15 + 8t + -16t2

Reorder the terms:
15 + 8t + -16t2 = -15 + 15 + -8t + 8t + 16t2 + -16t2

Combine like terms: -15 + 15 = 0
15 + 8t + -16t2 = 0 + -8t + 8t + 16t2 + -16t2
15 + 8t + -16t2 = -8t + 8t + 16t2 + -16t2

Combine like terms: -8t + 8t = 0
15 + 8t + -16t2 = 0 + 16t2 + -16t2
15 + 8t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
15 + 8t + -16t2 = 0

Factor a trinomial.
(5 + -4t)(3 + 4t) = 0


Subproblem 1
Set the factor '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 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 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25

Subproblem 2
Set the factor '(3 + 4t)' equal to zero and attempt to solve:

Simplifying
3 + 4t = 0

Solving
3 + 4t = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4t = 0 + -3
4t = 0 + -3

Combine like terms: 0 + -3 = -3
4t = -3

Divide each side by '4'.
t = -0.75

Simplifying
t = -0.75
Solution
t = {1.25, -0.75}

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