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Simplifying 6a2 + -2c + 2a2 + -2c2 = 0 Reorder the terms: 6a2 + 2a2 + -2c + -2c2 = 0 Combine like terms: 6a2 + 2a2 = 8a2 8a2 + -2c + -2c2 = 0 Solving 8a2 + -2c + -2c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. 8a2 + -2c + 2c + -2c2 = 0 + 2c Combine like terms: -2c + 2c = 0 8a2 + 0 + -2c2 = 0 + 2c 8a2 + -2c2 = 0 + 2c Remove the zero: 8a2 + -2c2 = 2c Add '2c2' to each side of the equation. 8a2 + -2c2 + 2c2 = 2c + 2c2 Combine like terms: -2c2 + 2c2 = 0 8a2 + 0 = 2c + 2c2 8a2 = 2c + 2c2 Divide each side by '8'. a2 = 0.25c + 0.25c2 Simplifying a2 = 0.25c + 0.25c2 Reorder the terms: a2 + -0.25c + -0.25c2 = 0.25c + -0.25c + 0.25c2 + -0.25c2 Combine like terms: 0.25c + -0.25c = 0.00 a2 + -0.25c + -0.25c2 = 0.00 + 0.25c2 + -0.25c2 a2 + -0.25c + -0.25c2 = 0.25c2 + -0.25c2 Combine like terms: 0.25c2 + -0.25c2 = 0.00 a2 + -0.25c + -0.25c2 = 0.00 The solution to this equation could not be determined.
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