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Simplifying 3x3 + rx2 + sx + 4 = 0 Reorder the terms: 4 + rx2 + sx + 3x3 = 0 Solving 4 + rx2 + sx + 3x3 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + rx2 + sx + -4 + 3x3 = 0 + -4 Reorder the terms: 4 + -4 + rx2 + sx + 3x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + rx2 + sx + 3x3 = 0 + -4 rx2 + sx + 3x3 = 0 + -4 Combine like terms: 0 + -4 = -4 rx2 + sx + 3x3 = -4 Add '-1sx' to each side of the equation. rx2 + sx + -1sx + 3x3 = -4 + -1sx Combine like terms: sx + -1sx = 0 rx2 + 0 + 3x3 = -4 + -1sx rx2 + 3x3 = -4 + -1sx Add '-3x3' to each side of the equation. rx2 + 3x3 + -3x3 = -4 + -1sx + -3x3 Combine like terms: 3x3 + -3x3 = 0 rx2 + 0 = -4 + -1sx + -3x3 rx2 = -4 + -1sx + -3x3 Divide each side by 'x2'. r = -4x-2 + -1sx-1 + -3x Simplifying r = -4x-2 + -1sx-1 + -3x Reorder the terms: r = -1sx-1 + -4x-2 + -3x
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