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Simplifying 0 = 2kx2 + -4kx + 1 Reorder the terms: 0 = 1 + -4kx + 2kx2 Solving 0 = 1 + -4kx + 2kx2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4kx' to each side of the equation. 0 + 4kx = 1 + -4kx + 4kx + 2kx2 Remove the zero: 4kx = 1 + -4kx + 4kx + 2kx2 Combine like terms: -4kx + 4kx = 0 4kx = 1 + 0 + 2kx2 4kx = 1 + 2kx2 Add '-2kx2' to each side of the equation. 4kx + -2kx2 = 1 + 2kx2 + -2kx2 Combine like terms: 2kx2 + -2kx2 = 0 4kx + -2kx2 = 1 + 0 4kx + -2kx2 = 1 Reorder the terms: -1 + 4kx + -2kx2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4kx + -2kx2 = 0 The solution to this equation could not be determined.
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