4y^2-17y-42=0

Solution for 4y^2-17y-42=0 equation:

Simplifying
4y2 + -17y + -42 = 0

Reorder the terms:
-42 + -17y + 4y2 = 0

Solving
-42 + -17y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -4y)(6 + -1y) = 0

Subproblem 1
Set the factor '(-7 + -4y)' equal to zero and attempt to solve:

Simplifying
-7 + -4y = 0

Solving
-7 + -4y = 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 + -4y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4y = 0 + 7
-4y = 0 + 7

Combine like terms: 0 + 7 = 7
-4y = 7

Divide each side by '-4'.
y = -1.75

Simplifying
y = -1.75
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {-1.75, 6}