4y^2(6y^5+1)=

Solution for 4y^2(6y^5+1)= equation:

Simplifying
4y2(6y5 + 1) = 0

Reorder the terms:
4y2(1 + 6y5) = 0
(1 * 4y2 + 6y5 * 4y2) = 0
(4y2 + 24y7) = 0

Solving
4y2 + 24y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y2'.
4y2(1 + 6y5) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(1 + 6y5)' equal to zero and attempt to solve:

Simplifying
1 + 6y5 = 0

Solving
1 + 6y5 = 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 + 6y5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6y5 = 0 + -1
6y5 = 0 + -1

Combine like terms: 0 + -1 = -1
6y5 = -1

Divide each side by '6'.
y5 = -0.1666666667

Simplifying
y5 = -0.1666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}