30t^2-12t-5t+2=

Solution for 30t^2-12t-5t+2= equation:

Simplifying
30t2 + -12t + -5t + 2 = 0

Reorder the terms:
2 + -12t + -5t + 30t2 = 0

Combine like terms: -12t + -5t = -17t
2 + -17t + 30t2 = 0

Solving
2 + -17t + 30t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -6t)(2 + -5t) = 0

Subproblem 1
Set the factor '(1 + -6t)' equal to zero and attempt to solve:

Simplifying
1 + -6t = 0

Solving
1 + -6t = 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 + -6t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6t = 0 + -1
-6t = 0 + -1

Combine like terms: 0 + -1 = -1
-6t = -1

Divide each side by '-6'.
t = 0.1666666667

Simplifying
t = 0.1666666667
Subproblem 2
Set the factor '(2 + -5t)' equal to zero and attempt to solve:

Simplifying
2 + -5t = 0

Solving
2 + -5t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5t = 0 + -2

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

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

Divide each side by '-5'.
t = 0.4

Simplifying
t = 0.4
Solution
t = {0.1666666667, 0.4}