(5t-2)t=3

Solution for (5t-2)t=3 equation:

Simplifying
(5t + -2) * t = 3

Reorder the terms:
(-2 + 5t) * t = 3

Reorder the terms for easier multiplication:
t(-2 + 5t) = 3
(-2 * t + 5t * t) = 3
(-2t + 5t2) = 3

Solving
-2t + 5t2 = 3

Solving for variable 't'.

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

Combine like terms: 3 + -3 = 0
-3 + -2t + 5t2 = 0

Factor a trinomial.
(-3 + -5t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-3 + -5t)' equal to zero and attempt to solve:

Simplifying
-3 + -5t = 0

Solving
-3 + -5t = 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 + -5t = 0 + 3

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

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

Divide each side by '-5'.
t = -0.6

Simplifying
t = -0.6
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

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

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

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {-0.6, 1}