24y^2-20y=4

Solution for 24y^2-20y=4 equation:

Simplifying
24y2 + -20y = 4

Reorder the terms:
-20y + 24y2 = 4

Solving
-20y + 24y2 = 4

Solving for variable 'y'.

Reorder the terms:
-4 + -20y + 24y2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -20y + 24y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -5y + 6y2) = 0

Factor a trinomial.
4((-1 + -6y)(1 + -1y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -6y)' equal to zero and attempt to solve:

Simplifying
-1 + -6y = 0

Solving
-1 + -6y = 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 + -6y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6y = 0 + 1
-6y = 0 + 1

Combine like terms: 0 + 1 = 1
-6y = 1

Divide each side by '-6'.
y = -0.1666666667

Simplifying
y = -0.1666666667
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {-0.1666666667, 1}