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Simplifying 2x3 + kx2 + -11x + 60 = 0 Reorder the terms: 60 + kx2 + -11x + 2x3 = 0 Solving 60 + kx2 + -11x + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + kx2 + -11x + -60 + 2x3 = 0 + -60 Reorder the terms: 60 + -60 + kx2 + -11x + 2x3 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + kx2 + -11x + 2x3 = 0 + -60 kx2 + -11x + 2x3 = 0 + -60 Combine like terms: 0 + -60 = -60 kx2 + -11x + 2x3 = -60 Add '11x' to each side of the equation. kx2 + -11x + 11x + 2x3 = -60 + 11x Combine like terms: -11x + 11x = 0 kx2 + 0 + 2x3 = -60 + 11x kx2 + 2x3 = -60 + 11x Add '-2x3' to each side of the equation. kx2 + 2x3 + -2x3 = -60 + 11x + -2x3 Combine like terms: 2x3 + -2x3 = 0 kx2 + 0 = -60 + 11x + -2x3 kx2 = -60 + 11x + -2x3 Divide each side by 'x2'. k = -60x-2 + 11x-1 + -2x Simplifying k = -60x-2 + 11x-1 + -2x
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