14t^2-4t=2t

Solution for 14t^2-4t=2t equation:

Simplifying
14t2 + -4t = 2t

Reorder the terms:
-4t + 14t2 = 2t

Solving
-4t + 14t2 = 2t

Solving for variable 't'.

Reorder the terms:
-4t + -2t + 14t2 = 2t + -2t

Combine like terms: -4t + -2t = -6t
-6t + 14t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-6t + 14t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-3 + 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 '(-3 + 7t)' equal to zero and attempt to solve:

Simplifying
-3 + 7t = 0

Solving
-3 + 7t = 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 + 7t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7t = 0 + 3
7t = 0 + 3

Combine like terms: 0 + 3 = 3
7t = 3

Divide each side by '7'.
t = 0.4285714286

Simplifying
t = 0.4285714286
Solution
t = {0, 0.4285714286}