11t=6t^2+3

Solution for 11t=6t^2+3 equation:

Simplifying
11t = 6t2 + 3

Reorder the terms:
11t = 3 + 6t2

Solving
11t = 3 + 6t2

Solving for variable 't'.

Reorder the terms:
-3 + 11t + -6t2 = 3 + 6t2 + -3 + -6t2

Reorder the terms:
-3 + 11t + -6t2 = 3 + -3 + 6t2 + -6t2

Combine like terms: 3 + -3 = 0
-3 + 11t + -6t2 = 0 + 6t2 + -6t2
-3 + 11t + -6t2 = 6t2 + -6t2

Combine like terms: 6t2 + -6t2 = 0
-3 + 11t + -6t2 = 0

Factor a trinomial.
(-3 + 2t)(1 + -3t) = 0

Subproblem 1
Set the factor '(-3 + 2t)' equal to zero and attempt to solve:

Simplifying
-3 + 2t = 0

Solving
-3 + 2t = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = 0 + 3
2t = 0 + 3

Combine like terms: 0 + 3 = 3
2t = 3

Divide each side by '2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(1 + -3t)' equal to zero and attempt to solve:

Simplifying
1 + -3t = 0

Solving
1 + -3t = 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 + -3t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3t = 0 + -1
-3t = 0 + -1

Combine like terms: 0 + -1 = -1
-3t = -1

Divide each side by '-3'.
t = 0.3333333333

Simplifying
t = 0.3333333333
Solution
t = {1.5, 0.3333333333}