2t^2-11=9t

Solution for 2t^2-11=9t equation:

Simplifying
2t2 + -11 = 9t

Reorder the terms:
-11 + 2t2 = 9t

Solving
-11 + 2t2 = 9t

Solving for variable 't'.

Reorder the terms:
-11 + -9t + 2t2 = 9t + -9t

Combine like terms: 9t + -9t = 0
-11 + -9t + 2t2 = 0

Factor a trinomial.
(-1 + -1t)(11 + -2t) = 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 '(11 + -2t)' equal to zero and attempt to solve:

Simplifying
11 + -2t = 0

Solving
11 + -2t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2t = 0 + -11
-2t = 0 + -11

Combine like terms: 0 + -11 = -11
-2t = -11

Divide each side by '-2'.
t = 5.5

Simplifying
t = 5.5
Solution
t = {-1, 5.5}