8y^2+42y-11=0

Solution for 8y^2+42y-11=0 equation:

Simplifying
8y2 + 42y + -11 = 0

Reorder the terms:
-11 + 42y + 8y2 = 0

Solving
-11 + 42y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-11 + -2y)(1 + -4y) = 0

Subproblem 1
Set the factor '(-11 + -2y)' equal to zero and attempt to solve:

Simplifying
-11 + -2y = 0

Solving
-11 + -2y = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2y = 0 + 11
-2y = 0 + 11

Combine like terms: 0 + 11 = 11
-2y = 11

Divide each side by '-2'.
y = -5.5

Simplifying
y = -5.5
Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 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 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {-5.5, 0.25}