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Simplifying 2a2 + -3ab + 4b2 + 5ab + -3b + -2a2 + -1ab = 0 Reorder the terms: -3ab + 5ab + -1ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: -3ab + 5ab = 2ab 2ab + -1ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: 2ab + -1ab = 1ab 1ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: 2a2 + -2a2 = 0 1ab + 0 + -3b + 4b2 = 0 1ab + -3b + 4b2 = 0 Solving 1ab + -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. 1ab + -3b + 3b + 4b2 = 0 + 3b Combine like terms: -3b + 3b = 0 1ab + 0 + 4b2 = 0 + 3b 1ab + 4b2 = 0 + 3b Remove the zero: 1ab + 4b2 = 3b Add '-4b2' to each side of the equation. 1ab + 4b2 + -4b2 = 3b + -4b2 Combine like terms: 4b2 + -4b2 = 0 1ab + 0 = 3b + -4b2 1ab = 3b + -4b2 Divide each side by '1b'. a = 3 + -4b Simplifying a = 3 + -4b
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