(2x+3y)(4x-6y+7z)=

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Solution for (2x+3y)(4x-6y+7z)= equation: 


Simplifying
(2x + 3y)(4x + -6y + 7z) = 0

Multiply (2x + 3y) * (4x + -6y + 7z)
(2x * (4x + -6y + 7z) + 3y * (4x + -6y + 7z)) = 0
((4x * 2x + -6y * 2x + 7z * 2x) + 3y * (4x + -6y + 7z)) = 0

Reorder the terms:
((-12xy + 14xz + 8x2) + 3y * (4x + -6y + 7z)) = 0
((-12xy + 14xz + 8x2) + 3y * (4x + -6y + 7z)) = 0
(-12xy + 14xz + 8x2 + (4x * 3y + -6y * 3y + 7z * 3y)) = 0

Reorder the terms:
(-12xy + 14xz + 8x2 + (12xy + 21yz + -18y2)) = 0
(-12xy + 14xz + 8x2 + (12xy + 21yz + -18y2)) = 0

Reorder the terms:
(-12xy + 12xy + 14xz + 8x2 + 21yz + -18y2) = 0

Combine like terms: -12xy + 12xy = 0
(0 + 14xz + 8x2 + 21yz + -18y2) = 0
(14xz + 8x2 + 21yz + -18y2) = 0

Solving
14xz + 8x2 + 21yz + -18y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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