-8t=22t-6t^2

Solution for -8t=22t-6t^2 equation:

Simplifying
-8t = 22t + -6t2

Solving
-8t = 22t + -6t2

Solving for variable 't'.

Combine like terms: -8t + -22t = -30t
-30t + 6t2 = 22t + -6t2 + -22t + 6t2

Reorder the terms:
-30t + 6t2 = 22t + -22t + -6t2 + 6t2

Combine like terms: 22t + -22t = 0
-30t + 6t2 = 0 + -6t2 + 6t2
-30t + 6t2 = -6t2 + 6t2

Combine like terms: -6t2 + 6t2 = 0
-30t + 6t2 = 0

Factor out the Greatest Common Factor (GCF), '6t'.
6t(-5 + t) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-5 + t)' equal to zero and attempt to solve:

Simplifying
-5 + t = 0

Solving
-5 + t = 0

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

Add '5' to each side of the equation.
-5 + 5 + t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + t = 0 + 5
t = 0 + 5

Combine like terms: 0 + 5 = 5
t = 5

Simplifying
t = 5
Solution
t = {0, 5}