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Simplifying kx2 + -1(1 + k) * x + (3k + 2) = 0 Reorder the terms for easier multiplication: kx2 + -1x(1 + k) + (3k + 2) = 0 kx2 + (1 * -1x + k * -1x) + (3k + 2) = 0 Reorder the terms: kx2 + (-1kx + -1x) + (3k + 2) = 0 kx2 + (-1kx + -1x) + (3k + 2) = 0 Reorder the terms: kx2 + -1kx + -1x + (2 + 3k) = 0 Remove parenthesis around (2 + 3k) kx2 + -1kx + -1x + 2 + 3k = 0 Reorder the terms: 2 + 3k + -1kx + kx2 + -1x = 0 Solving 2 + 3k + -1kx + kx2 + -1x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3k + -1kx + kx2 + -2 + -1x = 0 + -2 Reorder the terms: 2 + -2 + 3k + -1kx + kx2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k + -1kx + kx2 + -1x = 0 + -2 3k + -1kx + kx2 + -1x = 0 + -2 Combine like terms: 0 + -2 = -2 3k + -1kx + kx2 + -1x = -2 Add 'x' to each side of the equation. 3k + -1kx + kx2 + -1x + x = -2 + x Combine like terms: -1x + x = 0 3k + -1kx + kx2 + 0 = -2 + x 3k + -1kx + kx2 = -2 + x Reorder the terms: 2 + 3k + -1kx + kx2 + -1x = -2 + x + 2 + -1x Reorder the terms: 2 + 3k + -1kx + kx2 + -1x = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 2 + 3k + -1kx + kx2 + -1x = 0 + x + -1x 2 + 3k + -1kx + kx2 + -1x = x + -1x Combine like terms: x + -1x = 0 2 + 3k + -1kx + kx2 + -1x = 0 The solution to this equation could not be determined.
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