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Simplifying 3a3 + 4b2 + -8a3 + 3b = 0 Reorder the terms: 3a3 + -8a3 + 3b + 4b2 = 0 Combine like terms: 3a3 + -8a3 = -5a3 -5a3 + 3b + 4b2 = 0 Solving -5a3 + 3b + 4b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -5a3 + 3b + -3b + 4b2 = 0 + -3b Combine like terms: 3b + -3b = 0 -5a3 + 0 + 4b2 = 0 + -3b -5a3 + 4b2 = 0 + -3b Remove the zero: -5a3 + 4b2 = -3b Add '-4b2' to each side of the equation. -5a3 + 4b2 + -4b2 = -3b + -4b2 Combine like terms: 4b2 + -4b2 = 0 -5a3 + 0 = -3b + -4b2 -5a3 = -3b + -4b2 Divide each side by '-5'. a3 = 0.6b + 0.8b2 Simplifying a3 = 0.6b + 0.8b2 Reorder the terms: a3 + -0.6b + -0.8b2 = 0.6b + -0.6b + 0.8b2 + -0.8b2 Combine like terms: 0.6b + -0.6b = 0.0 a3 + -0.6b + -0.8b2 = 0.0 + 0.8b2 + -0.8b2 a3 + -0.6b + -0.8b2 = 0.8b2 + -0.8b2 Combine like terms: 0.8b2 + -0.8b2 = 0.0 a3 + -0.6b + -0.8b2 = 0.0 The solution to this equation could not be determined.
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