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Simplifying kx^{2}+ 4x + (5 + -1k) = 0 Remove parenthesis around (5 + -1k) kx^{2}+ 4x + 5 + -1k = 0 Reorder the terms: 5 + -1k + kx^{2}+ 4x = 0 Solving 5 + -1k + kx^{2}+ 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 + -1k + kx^{2}+ -5 + 4x = 0 + -5 Reorder the terms: 5 + -5 + -1k + kx^{2}+ 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k + kx^{2}+ 4x = 0 + -5 -1k + kx^{2}+ 4x = 0 + -5 Combine like terms: 0 + -5 = -5 -1k + kx^{2}+ 4x = -5 Add '-4x' to each side of the equation. -1k + kx^{2}+ 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 -1k + kx^{2}+ 0 = -5 + -4x -1k + kx^{2}= -5 + -4x Reorder the terms: 5 + -1k + kx^{2}+ 4x = -5 + -4x + 5 + 4x Reorder the terms: 5 + -1k + kx^{2}+ 4x = -5 + 5 + -4x + 4x Combine like terms: -5 + 5 = 0 5 + -1k + kx^{2}+ 4x = 0 + -4x + 4x 5 + -1k + kx^{2}+ 4x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + -1k + kx^{2}+ 4x = 0 The solution to this equation could not be determined.

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