6y^2-3y+5y^2-7y=

Solution for 6y^2-3y+5y^2-7y= equation:

Simplifying
6y2 + -3y + 5y2 + -7y = 0

Reorder the terms:
-3y + -7y + 6y2 + 5y2 = 0

Combine like terms: -3y + -7y = -10y
-10y + 6y2 + 5y2 = 0

Combine like terms: 6y2 + 5y2 = 11y2
-10y + 11y2 = 0

Solving
-10y + 11y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-10 + 11y) = 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 '(-10 + 11y)' equal to zero and attempt to solve:

Simplifying
-10 + 11y = 0

Solving
-10 + 11y = 0

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

Add '10' to each side of the equation.
-10 + 10 + 11y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 11y = 0 + 10
11y = 0 + 10

Combine like terms: 0 + 10 = 10
11y = 10

Divide each side by '11'.
y = 0.9090909091

Simplifying
y = 0.9090909091
Solution
y = {0, 0.9090909091}