4a^2-b^2-2bc-c^2=

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Solution for 4a^2-b^2-2bc-c^2= equation:


Simplifying
4a2 + -1b2 + -2bc + -1c2 = 0

Reorder the terms:
4a2 + -2bc + -1b2 + -1c2 = 0

Solving
4a2 + -2bc + -1b2 + -1c2 = 0

Solving for variable 'a'.

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

Add '2bc' to each side of the equation.
4a2 + -2bc + -1b2 + 2bc + -1c2 = 0 + 2bc

Reorder the terms:
4a2 + -2bc + 2bc + -1b2 + -1c2 = 0 + 2bc

Combine like terms: -2bc + 2bc = 0
4a2 + 0 + -1b2 + -1c2 = 0 + 2bc
4a2 + -1b2 + -1c2 = 0 + 2bc
Remove the zero:
4a2 + -1b2 + -1c2 = 2bc

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 + -1c2 = 2bc + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 + -1c2 = 2bc + b2
4a2 + -1c2 = 2bc + b2

Add 'c2' to each side of the equation.
4a2 + -1c2 + c2 = 2bc + b2 + c2

Combine like terms: -1c2 + c2 = 0
4a2 + 0 = 2bc + b2 + c2
4a2 = 2bc + b2 + c2

Divide each side by '4'.
a2 = 0.5bc + 0.25b2 + 0.25c2

Simplifying
a2 = 0.5bc + 0.25b2 + 0.25c2

Reorder the terms:
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.5bc + -0.5bc + 0.25b2 + -0.25b2 + 0.25c2 + -0.25c2

Combine like terms: 0.5bc + -0.5bc = 0.0
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.0 + 0.25b2 + -0.25b2 + 0.25c2 + -0.25c2
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.25b2 + -0.25b2 + 0.25c2 + -0.25c2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.00 + 0.25c2 + -0.25c2
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.25c2 + -0.25c2

Combine like terms: 0.25c2 + -0.25c2 = 0.00
a2 + -0.5bc + -0.25b2 + -0.25c2 = 0.00

The solution to this equation could not be determined.

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