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Simplifying kx2 + -2(k + 2) * x + (k + 5) = 0 Reorder the terms: kx2 + -2(2 + k) * x + (k + 5) = 0 Reorder the terms for easier multiplication: kx2 + -2x(2 + k) + (k + 5) = 0 kx2 + (2 * -2x + k * -2x) + (k + 5) = 0 Reorder the terms: kx2 + (-2kx + -4x) + (k + 5) = 0 kx2 + (-2kx + -4x) + (k + 5) = 0 Reorder the terms: kx2 + -2kx + -4x + (5 + k) = 0 Remove parenthesis around (5 + k) kx2 + -2kx + -4x + 5 + k = 0 Reorder the terms: 5 + k + -2kx + kx2 + -4x = 0 Solving 5 + k + -2kx + kx2 + -4x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + k + -2kx + kx2 + -5 + -4x = 0 + -5 Reorder the terms: 5 + -5 + k + -2kx + kx2 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k + -2kx + kx2 + -4x = 0 + -5 k + -2kx + kx2 + -4x = 0 + -5 Combine like terms: 0 + -5 = -5 k + -2kx + kx2 + -4x = -5 Add '4x' to each side of the equation. k + -2kx + kx2 + -4x + 4x = -5 + 4x Combine like terms: -4x + 4x = 0 k + -2kx + kx2 + 0 = -5 + 4x k + -2kx + kx2 = -5 + 4x Reorder the terms: 5 + k + -2kx + kx2 + -4x = -5 + 4x + 5 + -4x Reorder the terms: 5 + k + -2kx + kx2 + -4x = -5 + 5 + 4x + -4x Combine like terms: -5 + 5 = 0 5 + k + -2kx + kx2 + -4x = 0 + 4x + -4x 5 + k + -2kx + kx2 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 5 + k + -2kx + kx2 + -4x = 0 The solution to this equation could not be determined.
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