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Simplifying 12.7a2 + 3.8b2 + -4b + 5.7a2 = 0 Reorder the terms: 12.7a2 + 5.7a2 + -4b + 3.8b2 = 0 Combine like terms: 12.7a2 + 5.7a2 = 18.4a2 18.4a2 + -4b + 3.8b2 = 0 Solving 18.4a2 + -4b + 3.8b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 18.4a2 + -4b + 4b + 3.8b2 = 0 + 4b Combine like terms: -4b + 4b = 0 18.4a2 + 0 + 3.8b2 = 0 + 4b 18.4a2 + 3.8b2 = 0 + 4b Remove the zero: 18.4a2 + 3.8b2 = 4b Add '-3.8b2' to each side of the equation. 18.4a2 + 3.8b2 + -3.8b2 = 4b + -3.8b2 Combine like terms: 3.8b2 + -3.8b2 = 0.0 18.4a2 + 0.0 = 4b + -3.8b2 18.4a2 = 4b + -3.8b2 Divide each side by '18.4'. a2 = 0.2173913043b + -0.2065217391b2 Simplifying a2 = 0.2173913043b + -0.2065217391b2 Reorder the terms: a2 + -0.2173913043b + 0.2065217391b2 = 0.2173913043b + -0.2173913043b + -0.2065217391b2 + 0.2065217391b2 Combine like terms: 0.2173913043b + -0.2173913043b = 0.0000000000 a2 + -0.2173913043b + 0.2065217391b2 = 0.0000000000 + -0.2065217391b2 + 0.2065217391b2 a2 + -0.2173913043b + 0.2065217391b2 = -0.2065217391b2 + 0.2065217391b2 Combine like terms: -0.2065217391b2 + 0.2065217391b2 = 0.0000000000 a2 + -0.2173913043b + 0.2065217391b2 = 0.0000000000 The solution to this equation could not be determined.
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