20y^2=21y-4

Solution for 20y^2=21y-4 equation:

Simplifying
20y2 = 21y + -4

Reorder the terms:
20y2 = -4 + 21y

Solving
20y2 = -4 + 21y

Solving for variable 'y'.

Reorder the terms:
4 + -21y + 20y2 = -4 + 21y + 4 + -21y

Reorder the terms:
4 + -21y + 20y2 = -4 + 4 + 21y + -21y

Combine like terms: -4 + 4 = 0
4 + -21y + 20y2 = 0 + 21y + -21y
4 + -21y + 20y2 = 21y + -21y

Combine like terms: 21y + -21y = 0
4 + -21y + 20y2 = 0

Factor a trinomial.
(1 + -4y)(4 + -5y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {0.25, 0.8}