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Simplifying x2 + -4kx + (5k + -6) = 0 Reorder the terms: x2 + -4kx + (-6 + 5k) = 0 Remove parenthesis around (-6 + 5k) x2 + -4kx + -6 + 5k = 0 Reorder the terms: -6 + 5k + -4kx + x2 = 0 Solving -6 + 5k + -4kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5k + -4kx + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 5k + -4kx + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5k + -4kx + x2 = 0 + 6 5k + -4kx + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 5k + -4kx + x2 = 6 Add '-1x2' to each side of the equation. 5k + -4kx + x2 + -1x2 = 6 + -1x2 Combine like terms: x2 + -1x2 = 0 5k + -4kx + 0 = 6 + -1x2 5k + -4kx = 6 + -1x2 Reorder the terms: -6 + 5k + -4kx + x2 = 6 + -1x2 + -6 + x2 Reorder the terms: -6 + 5k + -4kx + x2 = 6 + -6 + -1x2 + x2 Combine like terms: 6 + -6 = 0 -6 + 5k + -4kx + x2 = 0 + -1x2 + x2 -6 + 5k + -4kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + 5k + -4kx + x2 = 0 The solution to this equation could not be determined.
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