20y^2+23y-21=0

Solution for 20y^2+23y-21=0 equation:

Simplifying
20y2 + 23y + -21 = 0

Reorder the terms:
-21 + 23y + 20y2 = 0

Solving
-21 + 23y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -4y)(3 + -5y) = 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 '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 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 + -5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 0 + -3
-5y = 0 + -3

Combine like terms: 0 + -3 = -3
-5y = -3

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6
Solution
y = {-1.75, 0.6}