5t^2+2t=3t

Solution for 5t^2+2t=3t equation:

Simplifying
5t2 + 2t = 3t

Reorder the terms:
2t + 5t2 = 3t

Solving
2t + 5t2 = 3t

Solving for variable 't'.

Reorder the terms:
2t + -3t + 5t2 = 3t + -3t

Combine like terms: 2t + -3t = -1t
-1t + 5t2 = 3t + -3t

Combine like terms: 3t + -3t = 0
-1t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-1 + 5t) = 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 '(-1 + 5t)' equal to zero and attempt to solve:

Simplifying
-1 + 5t = 0

Solving
-1 + 5t = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5t = 0 + 1
5t = 0 + 1

Combine like terms: 0 + 1 = 1
5t = 1

Divide each side by '5'.
t = 0.2

Simplifying
t = 0.2
Solution
t = {0, 0.2}