42y^2-29y-6=0

Solution for 42y^2-29y-6=0 equation:

Simplifying
42y2 + -29y + -6 = 0

Reorder the terms:
-6 + -29y + 42y2 = 0

Solving
-6 + -29y + 42y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -6y)(6 + -7y) = 0

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

Simplifying
-1 + -6y = 0

Solving
-1 + -6y = 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 + -6y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6y = 0 + 1
-6y = 0 + 1

Combine like terms: 0 + 1 = 1
-6y = 1

Divide each side by '-6'.
y = -0.1666666667

Simplifying
y = -0.1666666667
Subproblem 2
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
Solution
y = {-0.1666666667, 0.8571428571}