10a^2-43a+12=0

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

Simplifying
10a2 + -43a + 12 = 0

Reorder the terms:
12 + -43a + 10a2 = 0

Solving
12 + -43a + 10a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(3 + -10a)' equal to zero and attempt to solve:

Simplifying
3 + -10a = 0

Solving
3 + -10a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10a = 0 + -3

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

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

Divide each side by '-10'.
a = 0.3

Simplifying
a = 0.3
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

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

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

Divide each side by '-1'.
a = 4

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