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Simplifying 2b2 + -3ab + 5 + -1(b2 + 5b + 6) = 0 Reorder the terms: 2b2 + -3ab + 5 + -1(6 + 5b + b2) = 0 2b2 + -3ab + 5 + (6 * -1 + 5b * -1 + b2 * -1) = 0 2b2 + -3ab + 5 + (-6 + -5b + -1b2) = 0 Reorder the terms: 5 + -6 + -3ab + -5b + 2b2 + -1b2 = 0 Combine like terms: 5 + -6 = -1 -1 + -3ab + -5b + 2b2 + -1b2 = 0 Combine like terms: 2b2 + -1b2 = 1b2 -1 + -3ab + -5b + 1b2 = 0 Solving -1 + -3ab + -5b + 1b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3ab + -5b + 1 + 1b2 = 0 + 1 Reorder the terms: -1 + 1 + -3ab + -5b + 1b2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3ab + -5b + 1b2 = 0 + 1 -3ab + -5b + 1b2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3ab + -5b + 1b2 = 1 Add '5b' to each side of the equation. -3ab + -5b + 5b + 1b2 = 1 + 5b Combine like terms: -5b + 5b = 0 -3ab + 0 + 1b2 = 1 + 5b -3ab + 1b2 = 1 + 5b Add '-1b2' to each side of the equation. -3ab + 1b2 + -1b2 = 1 + 5b + -1b2 Combine like terms: 1b2 + -1b2 = 0 -3ab + 0 = 1 + 5b + -1b2 -3ab = 1 + 5b + -1b2 Divide each side by '-3b'. a = -0.3333333333b-1 + -1.666666667 + 0.3333333333b Simplifying a = -0.3333333333b-1 + -1.666666667 + 0.3333333333b Reorder the terms: a = -1.666666667 + -0.3333333333b-1 + 0.3333333333b
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