10t^2-8t=2t

Solution for 10t^2-8t=2t equation:

Simplifying
10t2 + -8t = 2t

Reorder the terms:
-8t + 10t2 = 2t

Solving
-8t + 10t2 = 2t

Solving for variable 't'.

Reorder the terms:
-8t + -2t + 10t2 = 2t + -2t

Combine like terms: -8t + -2t = -10t
-10t + 10t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-10t + 10t2 = 0

Factor out the Greatest Common Factor (GCF), '10t'.
10t(-1 + t) = 0

Ignore the factor 10.
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 '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

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

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

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

Simplifying
t = 1
Solution
t = {0, 1}