2t^2=21t

Solution for 2t^2=21t equation:

Simplifying
2t2 = 21t

Solving
2t2 = 21t

Solving for variable 't'.

Reorder the terms:
-21t + 2t2 = 21t + -21t

Combine like terms: 21t + -21t = 0
-21t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-21 + 2t) = 0

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 '(-21 + 2t)' equal to zero and attempt to solve:

Simplifying
-21 + 2t = 0

Solving
-21 + 2t = 0

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

Add '21' to each side of the equation.
-21 + 21 + 2t = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2t = 0 + 21
2t = 0 + 21

Combine like terms: 0 + 21 = 21
2t = 21

Divide each side by '2'.
t = 10.5

Simplifying
t = 10.5
Solution
t = {0, 10.5}