21t^2-6t=3t

Solution for 21t^2-6t=3t equation:

Simplifying
21t2 + -6t = 3t

Reorder the terms:
-6t + 21t2 = 3t

Solving
-6t + 21t2 = 3t

Solving for variable 't'.

Reorder the terms:
-6t + -3t + 21t2 = 3t + -3t

Combine like terms: -6t + -3t = -9t
-9t + 21t2 = 3t + -3t

Combine like terms: 3t + -3t = 0
-9t + 21t2 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-3 + 7t) = 0

Ignore the factor 3.
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}