7y^2-22y+3=

Solution for 7y^2-22y+3= equation:

Simplifying
7y2 + -22y + 3 = 0

Reorder the terms:
3 + -22y + 7y2 = 0

Solving
3 + -22y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -7y)(3 + -1y) = 0

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

Simplifying
1 + -7y = 0

Solving
1 + -7y = 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 + -7y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7y = 0 + -1
-7y = 0 + -1

Combine like terms: 0 + -1 = -1
-7y = -1

Divide each side by '-7'.
y = 0.1428571429

Simplifying
y = 0.1428571429
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {0.1428571429, 3}