10108z(2)-12312yz+3744y(2)=4624

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Solution for 10108z(2)-12312yz+3744y(2)=4624 equation:


Simplifying
10108z(2) + -12312yz + 3744y(2) = 4624

Reorder the terms for easier multiplication:
10108 * 2z + -12312yz + 3744y(2) = 4624

Multiply 10108 * 2
20216z + -12312yz + 3744y(2) = 4624

Reorder the terms for easier multiplication:
20216z + -12312yz + 3744 * 2y = 4624

Multiply 3744 * 2
20216z + -12312yz + 7488y = 4624

Reorder the terms:
7488y + -12312yz + 20216z = 4624

Solving
7488y + -12312yz + 20216z = 4624

Solving for variable 'y'.

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

Add '-20216z' to each side of the equation.
7488y + -12312yz + 20216z + -20216z = 4624 + -20216z

Combine like terms: 20216z + -20216z = 0
7488y + -12312yz + 0 = 4624 + -20216z
7488y + -12312yz = 4624 + -20216z

Reorder the terms:
-4624 + 7488y + -12312yz + 20216z = 4624 + -20216z + -4624 + 20216z

Reorder the terms:
-4624 + 7488y + -12312yz + 20216z = 4624 + -4624 + -20216z + 20216z

Combine like terms: 4624 + -4624 = 0
-4624 + 7488y + -12312yz + 20216z = 0 + -20216z + 20216z
-4624 + 7488y + -12312yz + 20216z = -20216z + 20216z

Combine like terms: -20216z + 20216z = 0
-4624 + 7488y + -12312yz + 20216z = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-578 + 936y + -1539yz + 2527z) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-578 + 936y + -1539yz + 2527z)' equal to zero and attempt to solve: Simplifying -578 + 936y + -1539yz + 2527z = 0 Solving -578 + 936y + -1539yz + 2527z = 0 Move all terms containing y to the left, all other terms to the right. Add '578' to each side of the equation. -578 + 936y + -1539yz + 578 + 2527z = 0 + 578 Reorder the terms: -578 + 578 + 936y + -1539yz + 2527z = 0 + 578 Combine like terms: -578 + 578 = 0 0 + 936y + -1539yz + 2527z = 0 + 578 936y + -1539yz + 2527z = 0 + 578 Combine like terms: 0 + 578 = 578 936y + -1539yz + 2527z = 578 Add '-2527z' to each side of the equation. 936y + -1539yz + 2527z + -2527z = 578 + -2527z Combine like terms: 2527z + -2527z = 0 936y + -1539yz + 0 = 578 + -2527z 936y + -1539yz = 578 + -2527z 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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