9y(-6z-10y+4)=

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Solution for 9y(-6z-10y+4)= equation: 


Simplifying
9y(-6z + -10y + 4) = 0

Reorder the terms:
9y(4 + -10y + -6z) = 0
(4 * 9y + -10y * 9y + -6z * 9y) = 0

Reorder the terms:
(36y + -54yz + -90y2) = 0
(36y + -54yz + -90y2) = 0

Solving
36y + -54yz + -90y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '18y'.
18y(2 + -3z + -5y) = 0

Ignore the factor 18.

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 '(2 + -3z + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -3z + -5y = 0

Reorder the terms:
2 + -5y + -3z = 0

Solving
2 + -5y + -3z = 0

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

Add '-2' to each side of the equation.
2 + -5y + -2 + -3z = 0 + -2

Reorder the terms:
2 + -2 + -5y + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y + -3z = 0 + -2
-5y + -3z = 0 + -2

Combine like terms: 0 + -2 = -2
-5y + -3z = -2

Add '3z' to each side of the equation.
-5y + -3z + 3z = -2 + 3z

Combine like terms: -3z + 3z = 0
-5y + 0 = -2 + 3z
-5y = -2 + 3z

Divide each side by '-5'.
y = 0.4 + -0.6z

Simplifying
y = 0.4 + -0.6z
Solution
y = {0, 0.4 + -0.6z}

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