10t^2-6t-5t+3=

Solution for 10t^2-6t-5t+3= equation:

Simplifying
10t2 + -6t + -5t + 3 = 0

Reorder the terms:
3 + -6t + -5t + 10t2 = 0

Combine like terms: -6t + -5t = -11t
3 + -11t + 10t2 = 0

Solving
3 + -11t + 10t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -2t)(3 + -5t) = 0

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

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Subproblem 2
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
Solution
t = {0.5, 0.6}