-t^2+28t-27=

Solution for -t^2+28t-27= equation:

Simplifying
-1t2 + 28t + -27 = 0

Reorder the terms:
-27 + 28t + -1t2 = 0

Solving
-27 + 28t + -1t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-27 + t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-27 + t)' equal to zero and attempt to solve:

Simplifying
-27 + t = 0

Solving
-27 + t = 0

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

Add '27' to each side of the equation.
-27 + 27 + t = 0 + 27

Combine like terms: -27 + 27 = 0
0 + t = 0 + 27
t = 0 + 27

Combine like terms: 0 + 27 = 27
t = 27

Simplifying
t = 27
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 = {27, 1}