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Simplifying 4x3 + -12x2 + 4bx + 24 = 0 Reorder the terms: 24 + 4bx + -12x2 + 4x3 = 0 Solving 24 + 4bx + -12x2 + 4x3 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 4bx + -12x2 + -24 + 4x3 = 0 + -24 Reorder the terms: 24 + -24 + 4bx + -12x2 + 4x3 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4bx + -12x2 + 4x3 = 0 + -24 4bx + -12x2 + 4x3 = 0 + -24 Combine like terms: 0 + -24 = -24 4bx + -12x2 + 4x3 = -24 Add '12x2' to each side of the equation. 4bx + -12x2 + 12x2 + 4x3 = -24 + 12x2 Combine like terms: -12x2 + 12x2 = 0 4bx + 0 + 4x3 = -24 + 12x2 4bx + 4x3 = -24 + 12x2 Add '-4x3' to each side of the equation. 4bx + 4x3 + -4x3 = -24 + 12x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 4bx + 0 = -24 + 12x2 + -4x3 4bx = -24 + 12x2 + -4x3 Divide each side by '4x'. b = -6x-1 + 3x + -1x2 Simplifying b = -6x-1 + 3x + -1x2
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