2=-5t^2+8t-1

Solution for 2=-5t^2+8t-1 equation:

Simplifying
2 = -5t2 + 8t + -1

Reorder the terms:
2 = -1 + 8t + -5t2

Solving
2 = -1 + 8t + -5t2

Solving for variable 't'.

Combine like terms: 2 + 1 = 3
3 + -8t + 5t2 = -1 + 8t + -5t2 + 1 + -8t + 5t2

Reorder the terms:
3 + -8t + 5t2 = -1 + 1 + 8t + -8t + -5t2 + 5t2

Combine like terms: -1 + 1 = 0
3 + -8t + 5t2 = 0 + 8t + -8t + -5t2 + 5t2
3 + -8t + 5t2 = 8t + -8t + -5t2 + 5t2

Combine like terms: 8t + -8t = 0
3 + -8t + 5t2 = 0 + -5t2 + 5t2
3 + -8t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
3 + -8t + 5t2 = 0

Factor a trinomial.
(3 + -5t)(1 + -1t) = 0

Subproblem 1
Set the factor '(3 + -5t)' equal to zero and attempt to solve:

Simplifying
3 + -5t = 0

Solving
3 + -5t = 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 + -5t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5t = 0 + -3
-5t = 0 + -3

Combine like terms: 0 + -3 = -3
-5t = -3

Divide each side by '-5'.
t = 0.6

Simplifying
t = 0.6
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

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

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

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

Simplifying
t = 1
Solution
t = {0.6, 1}