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

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


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

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

Reorder the terms:
((10xy + 6xz + 4x2) + 5y * (2x + 5y + 3z) + -3z * (2x + 5y + 3z)) = 0
((10xy + 6xz + 4x2) + 5y * (2x + 5y + 3z) + -3z * (2x + 5y + 3z)) = 0
(10xy + 6xz + 4x2 + (2x * 5y + 5y * 5y + 3z * 5y) + -3z * (2x + 5y + 3z)) = 0

Reorder the terms:
(10xy + 6xz + 4x2 + (10xy + 15yz + 25y2) + -3z * (2x + 5y + 3z)) = 0
(10xy + 6xz + 4x2 + (10xy + 15yz + 25y2) + -3z * (2x + 5y + 3z)) = 0
(10xy + 6xz + 4x2 + 10xy + 15yz + 25y2 + (2x * -3z + 5y * -3z + 3z * -3z)) = 0
(10xy + 6xz + 4x2 + 10xy + 15yz + 25y2 + (-6xz + -15yz + -9z2)) = 0

Reorder the terms:
(10xy + 10xy + 6xz + -6xz + 4x2 + 15yz + -15yz + 25y2 + -9z2) = 0

Combine like terms: 10xy + 10xy = 20xy
(20xy + 6xz + -6xz + 4x2 + 15yz + -15yz + 25y2 + -9z2) = 0

Combine like terms: 6xz + -6xz = 0
(20xy + 0 + 4x2 + 15yz + -15yz + 25y2 + -9z2) = 0
(20xy + 4x2 + 15yz + -15yz + 25y2 + -9z2) = 0

Combine like terms: 15yz + -15yz = 0
(20xy + 4x2 + 0 + 25y2 + -9z2) = 0
(20xy + 4x2 + 25y2 + -9z2) = 0

Solving
20xy + 4x2 + 25y2 + -9z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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