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Simplifying 2x3 + -5x2 + kx + 8k = 0 Reorder the terms: 8k + kx + -5x2 + 2x3 = 0 Solving 8k + kx + -5x2 + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5x2' to each side of the equation. 8k + kx + -5x2 + 5x2 + 2x3 = 0 + 5x2 Combine like terms: -5x2 + 5x2 = 0 8k + kx + 0 + 2x3 = 0 + 5x2 8k + kx + 2x3 = 0 + 5x2 Remove the zero: 8k + kx + 2x3 = 5x2 Add '-2x3' to each side of the equation. 8k + kx + 2x3 + -2x3 = 5x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 8k + kx + 0 = 5x2 + -2x3 8k + kx = 5x2 + -2x3 Reorder the terms: 8k + kx + -5x2 + 2x3 = 5x2 + -5x2 + -2x3 + 2x3 Combine like terms: 5x2 + -5x2 = 0 8k + kx + -5x2 + 2x3 = 0 + -2x3 + 2x3 8k + kx + -5x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 8k + kx + -5x2 + 2x3 = 0 The solution to this equation could not be determined.
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