x^2+4yz+3z^2=5

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Solution for x^2+4yz+3z^2=5 equation:


Simplifying
x2 + 4yz + 3z2 = 5

Solving
x2 + 4yz + 3z2 = 5

Solving for variable 'x'.

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

Add '-4yz' to each side of the equation.
x2 + 4yz + -4yz + 3z2 = 5 + -4yz

Combine like terms: 4yz + -4yz = 0
x2 + 0 + 3z2 = 5 + -4yz
x2 + 3z2 = 5 + -4yz

Add '-3z2' to each side of the equation.
x2 + 3z2 + -3z2 = 5 + -4yz + -3z2

Combine like terms: 3z2 + -3z2 = 0
x2 + 0 = 5 + -4yz + -3z2
x2 = 5 + -4yz + -3z2

Simplifying
x2 = 5 + -4yz + -3z2

Reorder the terms:
-5 + x2 + 4yz + 3z2 = 5 + -4yz + -3z2 + -5 + 4yz + 3z2

Reorder the terms:
-5 + x2 + 4yz + 3z2 = 5 + -5 + -4yz + 4yz + -3z2 + 3z2

Combine like terms: 5 + -5 = 0
-5 + x2 + 4yz + 3z2 = 0 + -4yz + 4yz + -3z2 + 3z2
-5 + x2 + 4yz + 3z2 = -4yz + 4yz + -3z2 + 3z2

Combine like terms: -4yz + 4yz = 0
-5 + x2 + 4yz + 3z2 = 0 + -3z2 + 3z2
-5 + x2 + 4yz + 3z2 = -3z2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-5 + x2 + 4yz + 3z2 = 0

The solution to this equation could not be determined.

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