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Simplifying 2x2 + (k + -1) * x + -1 = 0 Reorder the terms: 2x2 + (-1 + k) * x + -1 = 0 Reorder the terms for easier multiplication: 2x2 + x(-1 + k) + -1 = 0 2x2 + (-1 * x + k * x) + -1 = 0 Reorder the terms: 2x2 + (kx + -1x) + -1 = 0 2x2 + (kx + -1x) + -1 = 0 Reorder the terms: -1 + kx + -1x + 2x2 = 0 Solving -1 + kx + -1x + 2x2 = 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 + kx + -1x + 1 + 2x2 = 0 + 1 Reorder the terms: -1 + 1 + kx + -1x + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + kx + -1x + 2x2 = 0 + 1 kx + -1x + 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 kx + -1x + 2x2 = 1 Add 'x' to each side of the equation. kx + -1x + x + 2x2 = 1 + x Combine like terms: -1x + x = 0 kx + 0 + 2x2 = 1 + x kx + 2x2 = 1 + x Add '-2x2' to each side of the equation. kx + 2x2 + -2x2 = 1 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx + 0 = 1 + x + -2x2 kx = 1 + x + -2x2 Divide each side by 'x'. k = x-1 + 1 + -2x Simplifying k = x-1 + 1 + -2x Reorder the terms: k = 1 + x-1 + -2x
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