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

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


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

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

Reorder the terms:
((-12xy + 4xz + 16x2) + 3y * (4x + -3y + z) + -1z * (4x + -3y + z)) = 0
((-12xy + 4xz + 16x2) + 3y * (4x + -3y + z) + -1z * (4x + -3y + z)) = 0
(-12xy + 4xz + 16x2 + (4x * 3y + -3y * 3y + z * 3y) + -1z * (4x + -3y + z)) = 0

Reorder the terms:
(-12xy + 4xz + 16x2 + (12xy + 3yz + -9y2) + -1z * (4x + -3y + z)) = 0
(-12xy + 4xz + 16x2 + (12xy + 3yz + -9y2) + -1z * (4x + -3y + z)) = 0
(-12xy + 4xz + 16x2 + 12xy + 3yz + -9y2 + (4x * -1z + -3y * -1z + z * -1z)) = 0
(-12xy + 4xz + 16x2 + 12xy + 3yz + -9y2 + (-4xz + 3yz + -1z2)) = 0

Reorder the terms:
(-12xy + 12xy + 4xz + -4xz + 16x2 + 3yz + 3yz + -9y2 + -1z2) = 0

Combine like terms: -12xy + 12xy = 0
(0 + 4xz + -4xz + 16x2 + 3yz + 3yz + -9y2 + -1z2) = 0
(4xz + -4xz + 16x2 + 3yz + 3yz + -9y2 + -1z2) = 0

Combine like terms: 4xz + -4xz = 0
(0 + 16x2 + 3yz + 3yz + -9y2 + -1z2) = 0
(16x2 + 3yz + 3yz + -9y2 + -1z2) = 0

Combine like terms: 3yz + 3yz = 6yz
(16x2 + 6yz + -9y2 + -1z2) = 0

Solving
16x2 + 6yz + -9y2 + -1z2 = 0

Solving for variable 'x'.

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

Add '-6yz' to each side of the equation.
16x2 + 6yz + -9y2 + -6yz + -1z2 = 0 + -6yz

Reorder the terms:
16x2 + 6yz + -6yz + -9y2 + -1z2 = 0 + -6yz

Combine like terms: 6yz + -6yz = 0
16x2 + 0 + -9y2 + -1z2 = 0 + -6yz
16x2 + -9y2 + -1z2 = 0 + -6yz
Remove the zero:
16x2 + -9y2 + -1z2 = -6yz

Add '9y2' to each side of the equation.
16x2 + -9y2 + 9y2 + -1z2 = -6yz + 9y2

Combine like terms: -9y2 + 9y2 = 0
16x2 + 0 + -1z2 = -6yz + 9y2
16x2 + -1z2 = -6yz + 9y2

Add 'z2' to each side of the equation.
16x2 + -1z2 + z2 = -6yz + 9y2 + z2

Combine like terms: -1z2 + z2 = 0
16x2 + 0 = -6yz + 9y2 + z2
16x2 = -6yz + 9y2 + z2

Divide each side by '16'.
x2 = -0.375yz + 0.5625y2 + 0.0625z2

Simplifying
x2 = -0.375yz + 0.5625y2 + 0.0625z2

Reorder the terms:
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = -0.375yz + 0.375yz + 0.5625y2 + -0.5625y2 + 0.0625z2 + -0.0625z2

Combine like terms: -0.375yz + 0.375yz = 0.000
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = 0.000 + 0.5625y2 + -0.5625y2 + 0.0625z2 + -0.0625z2
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = 0.5625y2 + -0.5625y2 + 0.0625z2 + -0.0625z2

Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = 0.0000 + 0.0625z2 + -0.0625z2
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = 0.0625z2 + -0.0625z2

Combine like terms: 0.0625z2 + -0.0625z2 = 0.0000
x2 + 0.375yz + -0.5625y2 + -0.0625z2 = 0.0000

The solution to this equation could not be determined.

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