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Simplifying 0 = 8kx2 + -7x2 + -2kx + 1 Reorder the terms: 0 = 1 + -2kx + 8kx2 + -7x2 Solving 0 = 1 + -2kx + 8kx2 + -7x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2kx' to each side of the equation. 0 + 2kx = 1 + -2kx + 8kx2 + 2kx + -7x2 Remove the zero: 2kx = 1 + -2kx + 8kx2 + 2kx + -7x2 Reorder the terms: 2kx = 1 + -2kx + 2kx + 8kx2 + -7x2 Combine like terms: -2kx + 2kx = 0 2kx = 1 + 0 + 8kx2 + -7x2 2kx = 1 + 8kx2 + -7x2 Add '-8kx2' to each side of the equation. 2kx + -8kx2 = 1 + 8kx2 + -8kx2 + -7x2 Combine like terms: 8kx2 + -8kx2 = 0 2kx + -8kx2 = 1 + 0 + -7x2 2kx + -8kx2 = 1 + -7x2 Reorder the terms: -1 + 2kx + -8kx2 + 7x2 = 1 + -7x2 + -1 + 7x2 Reorder the terms: -1 + 2kx + -8kx2 + 7x2 = 1 + -1 + -7x2 + 7x2 Combine like terms: 1 + -1 = 0 -1 + 2kx + -8kx2 + 7x2 = 0 + -7x2 + 7x2 -1 + 2kx + -8kx2 + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -1 + 2kx + -8kx2 + 7x2 = 0 The solution to this equation could not be determined.
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