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Simplifying x2 + -1(5 + k) * x + 36 = 0 Reorder the terms for easier multiplication: x2 + -1x(5 + k) + 36 = 0 x2 + (5 * -1x + k * -1x) + 36 = 0 Reorder the terms: x2 + (-1kx + -5x) + 36 = 0 x2 + (-1kx + -5x) + 36 = 0 Reorder the terms: 36 + -1kx + -5x + x2 = 0 Solving 36 + -1kx + -5x + x2 = 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 + -1kx + -5x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -1kx + -5x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1kx + -5x + x2 = 0 + -36 -1kx + -5x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1kx + -5x + x2 = -36 Add '5x' to each side of the equation. -1kx + -5x + 5x + x2 = -36 + 5x Combine like terms: -5x + 5x = 0 -1kx + 0 + x2 = -36 + 5x -1kx + x2 = -36 + 5x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = -36 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = -36 + 5x + -1x2 -1kx = -36 + 5x + -1x2 Divide each side by '-1x'. k = 36x-1 + -5 + x Simplifying k = 36x-1 + -5 + x Reorder the terms: k = -5 + 36x-1 + x
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