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Simplifying 3x2 + bx + x + 1 = 0 Reorder the terms: 1 + bx + x + 3x2 = 0 Solving 1 + bx + x + 3x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + bx + x + -1 + 3x2 = 0 + -1 Reorder the terms: 1 + -1 + bx + x + 3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + bx + x + 3x2 = 0 + -1 bx + x + 3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 bx + x + 3x2 = -1 Add '-1x' to each side of the equation. bx + x + -1x + 3x2 = -1 + -1x Combine like terms: x + -1x = 0 bx + 0 + 3x2 = -1 + -1x bx + 3x2 = -1 + -1x Add '-3x2' to each side of the equation. bx + 3x2 + -3x2 = -1 + -1x + -3x2 Combine like terms: 3x2 + -3x2 = 0 bx + 0 = -1 + -1x + -3x2 bx = -1 + -1x + -3x2 Divide each side by 'x'. b = -1x-1 + -1 + -3x Simplifying b = -1x-1 + -1 + -3x Reorder the terms: b = -1 + -1x-1 + -3x
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