10yz^2+yz^2=9yz+3yz^2

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Solution for 10yz^2+yz^2=9yz+3yz^2 equation: 


Simplifying
10yz2 + yz2 = 9yz + 3yz2

Combine like terms: 10yz2 + yz2 = 11yz2
11yz2 = 9yz + 3yz2

Solving
11yz2 = 9yz + 3yz2

Solving for variable 'y'.

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

Add '-9yz' to each side of the equation.
-9yz + 11yz2 = 9yz + -9yz + 3yz2

Combine like terms: 9yz + -9yz = 0
-9yz + 11yz2 = 0 + 3yz2
-9yz + 11yz2 = 3yz2

Add '-3yz2' to each side of the equation.
-9yz + 11yz2 + -3yz2 = 3yz2 + -3yz2

Combine like terms: 11yz2 + -3yz2 = 8yz2
-9yz + 8yz2 = 3yz2 + -3yz2

Combine like terms: 3yz2 + -3yz2 = 0
-9yz + 8yz2 = 0

Factor out the Greatest Common Factor (GCF), 'yz'.
yz(-9 + 8z) = 0


Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve:

Simplifying
yz = 0

Solving
yz = 0

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

Simplifying
yz = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-9 + 8z)' equal to zero and attempt to solve:

Simplifying
-9 + 8z = 0

Solving
-9 + 8z = 0

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

Add '9' to each side of the equation.
-9 + 9 + 8z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 8z = 0 + 9
8z = 0 + 9

Combine like terms: 0 + 9 = 9
8z = 9

Add '-8z' to each side of the equation.
8z + -8z = 9 + -8z

Combine like terms: 8z + -8z = 0
0 = 9 + -8z

Simplifying
0 = 9 + -8z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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