21t^2-9t=3t

Solution for 21t^2-9t=3t equation:

Simplifying
21t2 + -9t = 3t

Reorder the terms:
-9t + 21t2 = 3t

Solving
-9t + 21t2 = 3t

Solving for variable 't'.

Reorder the terms:
-9t + -3t + 21t2 = 3t + -3t

Combine like terms: -9t + -3t = -12t
-12t + 21t2 = 3t + -3t

Combine like terms: 3t + -3t = 0
-12t + 21t2 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-4 + 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 '(-4 + 7t)' equal to zero and attempt to solve:

Simplifying
-4 + 7t = 0

Solving
-4 + 7t = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7t = 0 + 4
7t = 0 + 4

Combine like terms: 0 + 4 = 4
7t = 4

Divide each side by '7'.
t = 0.5714285714

Simplifying
t = 0.5714285714
Solution
t = {0, 0.5714285714}