(2*y^2)*(2z+14z+24)=

Solution for (2*y^2)*(2z+14z+24)= equation:

Simplifying
(2y2)(2z + 14z + 24) = 0

Remove parenthesis around (2y2)
2y2(2z + 14z + 24) = 0

Reorder the terms:
2y2(24 + 2z + 14z) = 0

Combine like terms: 2z + 14z = 16z
2y2(24 + 16z) = 0
(24 * 2y2 + 16z * 2y2) = 0
(48y2 + 32y2z) = 0

Solving
48y2 + 32y2z = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), '16y2'.
16y2(3 + 2z) = 0

Ignore the factor 16.
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 '(3 + 2z)' equal to zero and attempt to solve:

Simplifying
3 + 2z = 0

Solving
3 + 2z = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2z = 0 + -3
2z = 0 + -3

Combine like terms: 0 + -3 = -3
2z = -3

Add '-2z' to each side of the equation.
2z + -2z = -3 + -2z

Combine like terms: 2z + -2z = 0
0 = -3 + -2z

Simplifying
0 = -3 + -2z

The solution to this equation could not be determined.

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