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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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