12y+30y=41y^2

Solution for 12y+30y=41y^2 equation:

Simplifying
12y + 30y = 41y2

Combine like terms: 12y + 30y = 42y
42y = 41y2

Solving
42y = 41y2

Solving for variable 'y'.

Combine like terms: 41y2 + -41y2 = 0
42y + -41y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(42 + -41y) = 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 '(42 + -41y)' equal to zero and attempt to solve:

Simplifying
42 + -41y = 0

Solving
42 + -41y = 0

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

Add '-42' to each side of the equation.
42 + -42 + -41y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -41y = 0 + -42
-41y = 0 + -42

Combine like terms: 0 + -42 = -42
-41y = -42

Divide each side by '-41'.
y = 1.024390244

Simplifying
y = 1.024390244
Solution
y = {0, 1.024390244}