4a^2-4b^2+16bc-16c^2=0

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Solution for 4a^2-4b^2+16bc-16c^2=0 equation:


Simplifying
4a2 + -4b2 + 16bc + -16c2 = 0

Reorder the terms:
4a2 + 16bc + -4b2 + -16c2 = 0

Solving
4a2 + 16bc + -4b2 + -16c2 = 0

Solving for variable 'a'.

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

Add '-16bc' to each side of the equation.
4a2 + 16bc + -4b2 + -16bc + -16c2 = 0 + -16bc

Reorder the terms:
4a2 + 16bc + -16bc + -4b2 + -16c2 = 0 + -16bc

Combine like terms: 16bc + -16bc = 0
4a2 + 0 + -4b2 + -16c2 = 0 + -16bc
4a2 + -4b2 + -16c2 = 0 + -16bc
Remove the zero:
4a2 + -4b2 + -16c2 = -16bc

Add '4b2' to each side of the equation.
4a2 + -4b2 + 4b2 + -16c2 = -16bc + 4b2

Combine like terms: -4b2 + 4b2 = 0
4a2 + 0 + -16c2 = -16bc + 4b2
4a2 + -16c2 = -16bc + 4b2

Add '16c2' to each side of the equation.
4a2 + -16c2 + 16c2 = -16bc + 4b2 + 16c2

Combine like terms: -16c2 + 16c2 = 0
4a2 + 0 = -16bc + 4b2 + 16c2
4a2 = -16bc + 4b2 + 16c2

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

Simplifying
a2 = -4bc + b2 + 4c2

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

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

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

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

The solution to this equation could not be determined.

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