60y^2-41y=3

Solution for 60y^2-41y=3 equation:

Simplifying
60y2 + -41y = 3

Reorder the terms:
-41y + 60y2 = 3

Solving
-41y + 60y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + -41y + 60y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -41y + 60y2 = 0

Factor a trinomial.
(-1 + -15y)(3 + -4y) = 0

Subproblem 1
Set the factor '(-1 + -15y)' equal to zero and attempt to solve:

Simplifying
-1 + -15y = 0

Solving
-1 + -15y = 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 + -15y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -15y = 0 + 1
-15y = 0 + 1

Combine like terms: 0 + 1 = 1
-15y = 1

Divide each side by '-15'.
y = -0.06666666667

Simplifying
y = -0.06666666667
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {-0.06666666667, 0.75}