7y^2-6y+3=3

Solution for 7y^2-6y+3=3 equation:

Simplifying
7y2 + -6y + 3 = 3

Reorder the terms:
3 + -6y + 7y2 = 3

Add '-3' to each side of the equation.
3 + -6y + -3 + 7y2 = 3 + -3

Reorder the terms:
3 + -3 + -6y + 7y2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -6y + 7y2 = 3 + -3
-6y + 7y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-6y + 7y2 = 0

Solving
-6y + 7y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-6 + 7y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-6 + 7y)' equal to zero and attempt to solve:

Simplifying
-6 + 7y = 0

Solving
-6 + 7y = 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 + 7y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 0 + 6
7y = 0 + 6

Combine like terms: 0 + 6 = 6
7y = 6

Divide each side by '7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Solution
y = {0, 0.8571428571}