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Simplifying 2a2 + b + 5b2 = 0 Solving 2a2 + b + 5b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a2 + b + -1b + 5b2 = 0 + -1b Combine like terms: b + -1b = 0 2a2 + 0 + 5b2 = 0 + -1b 2a2 + 5b2 = 0 + -1b Remove the zero: 2a2 + 5b2 = -1b Add '-5b2' to each side of the equation. 2a2 + 5b2 + -5b2 = -1b + -5b2 Combine like terms: 5b2 + -5b2 = 0 2a2 + 0 = -1b + -5b2 2a2 = -1b + -5b2 Divide each side by '2'. a2 = -0.5b + -2.5b2 Simplifying a2 = -0.5b + -2.5b2 Reorder the terms: a2 + 0.5b + 2.5b2 = -0.5b + 0.5b + -2.5b2 + 2.5b2 Combine like terms: -0.5b + 0.5b = 0.0 a2 + 0.5b + 2.5b2 = 0.0 + -2.5b2 + 2.5b2 a2 + 0.5b + 2.5b2 = -2.5b2 + 2.5b2 Combine like terms: -2.5b2 + 2.5b2 = 0.0 a2 + 0.5b + 2.5b2 = 0.0 The solution to this equation could not be determined.
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