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Simplifying b2 + 5b + 10a = 0 Reorder the terms: 10a + 5b + b2 = 0 Solving 10a + 5b + b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 10a + 5b + -5b + b2 = 0 + -5b Combine like terms: 5b + -5b = 0 10a + 0 + b2 = 0 + -5b 10a + b2 = 0 + -5b Remove the zero: 10a + b2 = -5b Add '-1b2' to each side of the equation. 10a + b2 + -1b2 = -5b + -1b2 Combine like terms: b2 + -1b2 = 0 10a + 0 = -5b + -1b2 10a = -5b + -1b2 Divide each side by '10'. a = -0.5b + -0.1b2 Simplifying a = -0.5b + -0.1b2
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