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Simplifying 10a2 + 6c2 + -3a2 + 4a2 + 2c2 = 0 Reorder the terms: 10a2 + -3a2 + 4a2 + 6c2 + 2c2 = 0 Combine like terms: 10a2 + -3a2 = 7a2 7a2 + 4a2 + 6c2 + 2c2 = 0 Combine like terms: 7a2 + 4a2 = 11a2 11a2 + 6c2 + 2c2 = 0 Combine like terms: 6c2 + 2c2 = 8c2 11a2 + 8c2 = 0 Solving 11a2 + 8c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8c2' to each side of the equation. 11a2 + 8c2 + -8c2 = 0 + -8c2 Combine like terms: 8c2 + -8c2 = 0 11a2 + 0 = 0 + -8c2 11a2 = 0 + -8c2 Remove the zero: 11a2 = -8c2 Divide each side by '11'. a2 = -0.7272727273c2 Simplifying a2 = -0.7272727273c2 Combine like terms: -0.7272727273c2 + 0.7272727273c2 = 0.0000000000 a2 + 0.7272727273c2 = 0.0000000000 The solution to this equation could not be determined.
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