9t^2+2=11t

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

Simplifying
9t2 + 2 = 11t

Reorder the terms:
2 + 9t2 = 11t

Solving
2 + 9t2 = 11t

Solving for variable 't'.

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

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

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

Subproblem 1
Set the factor '(2 + -9t)' equal to zero and attempt to solve:

Simplifying
2 + -9t = 0

Solving
2 + -9t = 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 + -9t = 0 + -2

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

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

Divide each side by '-9'.
t = 0.2222222222

Simplifying
t = 0.2222222222
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 = {0.2222222222, 1}