35y^2-43y+12=0

Solution for 35y^2-43y+12=0 equation:

Simplifying
35y2 + -43y + 12 = 0

Reorder the terms:
12 + -43y + 35y2 = 0

Solving
12 + -43y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -7y)(4 + -5y) = 0

Subproblem 1
Set the factor '(3 + -7y)' equal to zero and attempt to solve:

Simplifying
3 + -7y = 0

Solving
3 + -7y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7y = 0 + -3
-7y = 0 + -3

Combine like terms: 0 + -3 = -3
-7y = -3

Divide each side by '-7'.
y = 0.4285714286

Simplifying
y = 0.4285714286
Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {0.4285714286, 0.8}