4(3x+5y+2z)3(x-z)=

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Solution for 4(3x+5y+2z)3(x-z)= equation: 


Simplifying
4(3x + 5y + 2z) * 3(x + -1z) = 0

Reorder the terms for easier multiplication:
4 * 3(3x + 5y + 2z)(x + -1z) = 0

Multiply 4 * 3
12(3x + 5y + 2z)(x + -1z) = 0

Multiply (3x + 5y + 2z) * (x + -1z)
12(3x * (x + -1z) + 5y * (x + -1z) + 2z * (x + -1z)) = 0
12((x * 3x + -1z * 3x) + 5y * (x + -1z) + 2z * (x + -1z)) = 0

Reorder the terms:
12((-3xz + 3x2) + 5y * (x + -1z) + 2z * (x + -1z)) = 0
12((-3xz + 3x2) + 5y * (x + -1z) + 2z * (x + -1z)) = 0
12(-3xz + 3x2 + (x * 5y + -1z * 5y) + 2z * (x + -1z)) = 0
12(-3xz + 3x2 + (5xy + -5yz) + 2z * (x + -1z)) = 0
12(-3xz + 3x2 + 5xy + -5yz + (x * 2z + -1z * 2z)) = 0
12(-3xz + 3x2 + 5xy + -5yz + (2xz + -2z2)) = 0

Reorder the terms:
12(5xy + -3xz + 2xz + 3x2 + -5yz + -2z2) = 0

Combine like terms: -3xz + 2xz = -1xz
12(5xy + -1xz + 3x2 + -5yz + -2z2) = 0
(5xy * 12 + -1xz * 12 + 3x2 * 12 + -5yz * 12 + -2z2 * 12) = 0
(60xy + -12xz + 36x2 + -60yz + -24z2) = 0

Solving
60xy + -12xz + 36x2 + -60yz + -24z2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(5xy + -1xz + 3x2 + -5yz + -2z2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(5xy + -1xz + 3x2 + -5yz + -2z2)' equal to zero and attempt to solve:

Simplifying
5xy + -1xz + 3x2 + -5yz + -2z2 = 0

Solving
5xy + -1xz + 3x2 + -5yz + -2z2 = 0

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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