-18=-11t+t^2

Solution for -18=-11t+t^2 equation:

Simplifying
-18 = -11t + t2

Solving
-18 = -11t + t2

Solving for variable 't'.

Reorder the terms:
-18 + 11t + -1t2 = -11t + 11t + t2 + -1t2

Combine like terms: -11t + 11t = 0
-18 + 11t + -1t2 = 0 + t2 + -1t2
-18 + 11t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-18 + 11t + -1t2 = 0

Factor a trinomial.
(-9 + t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-9 + t)' equal to zero and attempt to solve:

Simplifying
-9 + t = 0

Solving
-9 + t = 0

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

Add '9' to each side of the equation.
-9 + 9 + t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + t = 0 + 9
t = 0 + 9

Combine like terms: 0 + 9 = 9
t = 9

Simplifying
t = 9
Subproblem 2
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
Solution
t = {9, 2}