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Simplifying x3 + bx2 + cx + -15 = 0 Reorder the terms: -15 + bx2 + cx + x3 = 0 Solving -15 + bx2 + cx + x3 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + bx2 + cx + 15 + x3 = 0 + 15 Reorder the terms: -15 + 15 + bx2 + cx + x3 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + bx2 + cx + x3 = 0 + 15 bx2 + cx + x3 = 0 + 15 Combine like terms: 0 + 15 = 15 bx2 + cx + x3 = 15 Add '-1cx' to each side of the equation. bx2 + cx + -1cx + x3 = 15 + -1cx Combine like terms: cx + -1cx = 0 bx2 + 0 + x3 = 15 + -1cx bx2 + x3 = 15 + -1cx Add '-1x3' to each side of the equation. bx2 + x3 + -1x3 = 15 + -1cx + -1x3 Combine like terms: x3 + -1x3 = 0 bx2 + 0 = 15 + -1cx + -1x3 bx2 = 15 + -1cx + -1x3 Divide each side by 'x2'. b = 15x-2 + -1cx-1 + -1x Simplifying b = 15x-2 + -1cx-1 + -1x Reorder the terms: b = -1cx-1 + 15x-2 + -1x
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