56y^2+41y-6=0

Solution for 56y^2+41y-6=0 equation:

Simplifying
56y2 + 41y + -6 = 0

Reorder the terms:
-6 + 41y + 56y2 = 0

Solving
-6 + 41y + 56y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -7y)(1 + -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 '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8y = 0 + -1
-8y = 0 + -1

Combine like terms: 0 + -1 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125
Solution
y = {-0.8571428571, 0.125}