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Simplifying x3 + kx2 + 33x + 36 = 0 Reorder the terms: 36 + kx2 + 33x + x3 = 0 Solving 36 + kx2 + 33x + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + kx2 + 33x + -36 + x3 = 0 + -36 Reorder the terms: 36 + -36 + kx2 + 33x + x3 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + kx2 + 33x + x3 = 0 + -36 kx2 + 33x + x3 = 0 + -36 Combine like terms: 0 + -36 = -36 kx2 + 33x + x3 = -36 Add '-33x' to each side of the equation. kx2 + 33x + -33x + x3 = -36 + -33x Combine like terms: 33x + -33x = 0 kx2 + 0 + x3 = -36 + -33x kx2 + x3 = -36 + -33x Add '-1x3' to each side of the equation. kx2 + x3 + -1x3 = -36 + -33x + -1x3 Combine like terms: x3 + -1x3 = 0 kx2 + 0 = -36 + -33x + -1x3 kx2 = -36 + -33x + -1x3 Divide each side by 'x2'. k = -36x-2 + -33x-1 + -1x Simplifying k = -36x-2 + -33x-1 + -1x
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