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Simplifying 2kx + (k + 1) * x + 1 = 0 Reorder the terms: 2kx + (1 + k) * x + 1 = 0 Reorder the terms for easier multiplication: 2kx + x(1 + k) + 1 = 0 2kx + (1 * x + k * x) + 1 = 0 Reorder the terms: 2kx + (kx + 1x) + 1 = 0 2kx + (kx + 1x) + 1 = 0 Reorder the terms: 1 + 2kx + kx + 1x = 0 Combine like terms: 2kx + kx = 3kx 1 + 3kx + 1x = 0 Solving 1 + 3kx + 1x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3kx + -1 + 1x = 0 + -1 Reorder the terms: 1 + -1 + 3kx + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3kx + 1x = 0 + -1 3kx + 1x = 0 + -1 Combine like terms: 0 + -1 = -1 3kx + 1x = -1 Add '-1x' to each side of the equation. 3kx + 1x + -1x = -1 + -1x Combine like terms: 1x + -1x = 0 3kx + 0 = -1 + -1x 3kx = -1 + -1x Divide each side by '3x'. k = -0.3333333333x-1 + -0.3333333333 Simplifying k = -0.3333333333x-1 + -0.3333333333 Reorder the terms: k = -0.3333333333 + -0.3333333333x-1
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