56y^2-97y+42=0

Solution for 56y^2-97y+42=0 equation:

Simplifying
56y2 + -97y + 42 = 0

Reorder the terms:
42 + -97y + 56y2 = 0

Solving
42 + -97y + 56y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -7y)(7 + -8y) = 0

Subproblem 1
Set the factor '(6 + -7y)' equal to zero and attempt to solve:

Simplifying
6 + -7y = 0

Solving
6 + -7y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 0 + -6
-7y = 0 + -6

Combine like terms: 0 + -6 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Subproblem 2
Set the factor '(7 + -8y)' equal to zero and attempt to solve:

Simplifying
7 + -8y = 0

Solving
7 + -8y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8y = 0 + -7
-8y = 0 + -7

Combine like terms: 0 + -7 = -7
-8y = -7

Divide each side by '-8'.
y = 0.875

Simplifying
y = 0.875
Solution
y = {0.8571428571, 0.875}