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Simplifying x(3 + -2x) + -1(6b + 4x) = 0 (3 * x + -2x * x) + -1(6b + 4x) = 0 (3x + -2x2) + -1(6b + 4x) = 0 3x + -2x2 + (6b * -1 + 4x * -1) = 0 3x + -2x2 + (-6b + -4x) = 0 Reorder the terms: -6b + 3x + -4x + -2x2 = 0 Combine like terms: 3x + -4x = -1x -6b + -1x + -2x2 = 0 Solving -6b + -1x + -2x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. -6b + -1x + x + -2x2 = 0 + x Combine like terms: -1x + x = 0 -6b + 0 + -2x2 = 0 + x -6b + -2x2 = 0 + x Remove the zero: -6b + -2x2 = x Add '2x2' to each side of the equation. -6b + -2x2 + 2x2 = x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -6b + 0 = x + 2x2 -6b = x + 2x2 Divide each side by '-6'. b = -0.1666666667x + -0.3333333333x2 Simplifying b = -0.1666666667x + -0.3333333333x2
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