10t^2-43t+12=0

Solution for 10t^2-43t+12=0 equation:

Simplifying
10t2 + -43t + 12 = 0

Reorder the terms:
12 + -43t + 10t2 = 0

Solving
12 + -43t + 10t2 = 0

Solving for variable 't'.

Factor a trinomial.
(3 + -10t)(4 + -1t) = 0

Subproblem 1
Set the factor '(3 + -10t)' equal to zero and attempt to solve:

Simplifying
3 + -10t = 0

Solving
3 + -10t = 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 + -10t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10t = 0 + -3
-10t = 0 + -3

Combine like terms: 0 + -3 = -3
-10t = -3

Divide each side by '-10'.
t = 0.3

Simplifying
t = 0.3
Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Solution
t = {0.3, 4}