t^2-8t+6=-1

Solution for t^2-8t+6=-1 equation:

Simplifying
t2 + -8t + 6 = -1

Reorder the terms:
6 + -8t + t2 = -1

Solving
6 + -8t + t2 = -1

Solving for variable 't'.

Reorder the terms:
6 + 1 + -8t + t2 = -1 + 1

Combine like terms: 6 + 1 = 7
7 + -8t + t2 = -1 + 1

Combine like terms: -1 + 1 = 0
7 + -8t + t2 = 0

Factor a trinomial.
(1 + -1t)(7 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve:

Simplifying
7 + -1t = 0

Solving
7 + -1t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t = 0 + -7
-1t = 0 + -7

Combine like terms: 0 + -7 = -7
-1t = -7

Divide each side by '-1'.
t = 7

Simplifying
t = 7
Solution
t = {1, 7}