20y^2-33y-14=0

Solution for 20y^2-33y-14=0 equation:

Simplifying
20y2 + -33y + -14 = 0

Reorder the terms:
-14 + -33y + 20y2 = 0

Solving
-14 + -33y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -20y)(2 + -1y) = 0

Subproblem 1
Set the factor '(-7 + -20y)' equal to zero and attempt to solve:

Simplifying
-7 + -20y = 0

Solving
-7 + -20y = 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 + -20y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -20y = 0 + 7
-20y = 0 + 7

Combine like terms: 0 + 7 = 7
-20y = 7

Divide each side by '-20'.
y = -0.35

Simplifying
y = -0.35
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.35, 2}