14t^2-10t=2t

Solution for 14t^2-10t=2t equation:

Simplifying
14t2 + -10t = 2t

Reorder the terms:
-10t + 14t2 = 2t

Solving
-10t + 14t2 = 2t

Solving for variable 't'.

Reorder the terms:
-10t + -2t + 14t2 = 2t + -2t

Combine like terms: -10t + -2t = -12t
-12t + 14t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-12t + 14t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-6 + 7t) = 0

Ignore the factor 2.
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 '(-6 + 7t)' equal to zero and attempt to solve:

Simplifying
-6 + 7t = 0

Solving
-6 + 7t = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7t = 0 + 6
7t = 0 + 6

Combine like terms: 0 + 6 = 6
7t = 6

Divide each side by '7'.
t = 0.8571428571

Simplifying
t = 0.8571428571
Solution
t = {0, 0.8571428571}