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Simplifying x2 + -1x(3 + k) + 5 = 0 x2 + (3 * -1x + k * -1x) + 5 = 0 Reorder the terms: x2 + (-1kx + -3x) + 5 = 0 x2 + (-1kx + -3x) + 5 = 0 Reorder the terms: 5 + -1kx + -3x + x2 = 0 Solving 5 + -1kx + -3x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1kx + -3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -1kx + -3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1kx + -3x + x2 = 0 + -5 -1kx + -3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1kx + -3x + x2 = -5 Add '3x' to each side of the equation. -1kx + -3x + 3x + x2 = -5 + 3x Combine like terms: -3x + 3x = 0 -1kx + 0 + x2 = -5 + 3x -1kx + x2 = -5 + 3x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = -5 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = -5 + 3x + -1x2 -1kx = -5 + 3x + -1x2 Divide each side by '-1x'. k = 5x-1 + -3 + x Simplifying k = 5x-1 + -3 + x Reorder the terms: k = -3 + 5x-1 + x
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