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