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Simplifying (2k + 1)(xsquare + 1) = (2k + 5) * x Reorder the terms: (1 + 2k)(xsquare + 1) = (2k + 5) * x Reorder the terms: (1 + 2k)(1 + aeqrsux) = (2k + 5) * x Multiply (1 + 2k) * (1 + aeqrsux) (1(1 + aeqrsux) + 2k * (1 + aeqrsux)) = (2k + 5) * x ((1 * 1 + aeqrsux * 1) + 2k * (1 + aeqrsux)) = (2k + 5) * x ((1 + 1aeqrsux) + 2k * (1 + aeqrsux)) = (2k + 5) * x (1 + 1aeqrsux + (1 * 2k + aeqrsux * 2k)) = (2k + 5) * x Reorder the terms: (1 + 1aeqrsux + (2aekqrsux + 2k)) = (2k + 5) * x (1 + 1aeqrsux + (2aekqrsux + 2k)) = (2k + 5) * x Reorder the terms: (1 + 2aekqrsux + 1aeqrsux + 2k) = (2k + 5) * x (1 + 2aekqrsux + 1aeqrsux + 2k) = (2k + 5) * x Reorder the terms: 1 + 2aekqrsux + 1aeqrsux + 2k = (5 + 2k) * x Reorder the terms for easier multiplication: 1 + 2aekqrsux + 1aeqrsux + 2k = x(5 + 2k) 1 + 2aekqrsux + 1aeqrsux + 2k = (5 * x + 2k * x) Reorder the terms: 1 + 2aekqrsux + 1aeqrsux + 2k = (2kx + 5x) 1 + 2aekqrsux + 1aeqrsux + 2k = (2kx + 5x) Solving 1 + 2aekqrsux + 1aeqrsux + 2k = 2kx + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2aekqrsux + 1aeqrsux + -1 + 2k = 2kx + -1 + 5x Reorder the terms: 1 + -1 + 2aekqrsux + 1aeqrsux + 2k = 2kx + -1 + 5x Combine like terms: 1 + -1 = 0 0 + 2aekqrsux + 1aeqrsux + 2k = 2kx + -1 + 5x 2aekqrsux + 1aeqrsux + 2k = 2kx + -1 + 5x Reorder the terms: 2aekqrsux + 1aeqrsux + 2k = -1 + 2kx + 5x Add '-2k' to each side of the equation. 2aekqrsux + 1aeqrsux + 2k + -2k = -1 + 2kx + -2k + 5x Combine like terms: 2k + -2k = 0 2aekqrsux + 1aeqrsux + 0 = -1 + 2kx + -2k + 5x 2aekqrsux + 1aeqrsux = -1 + 2kx + -2k + 5x Reorder the terms: 2aekqrsux + 1aeqrsux = -1 + -2k + 2kx + 5x Reorder the terms: 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = -1 + -2k + 2kx + 5x + 1 + 2k + -2kx + -5x Reorder the terms: 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = -1 + 1 + -2k + 2k + 2kx + -2kx + 5x + -5x Combine like terms: -1 + 1 = 0 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 0 + -2k + 2k + 2kx + -2kx + 5x + -5x 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = -2k + 2k + 2kx + -2kx + 5x + -5x Combine like terms: -2k + 2k = 0 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 0 + 2kx + -2kx + 5x + -5x 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 2kx + -2kx + 5x + -5x Combine like terms: 2kx + -2kx = 0 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 0 + 5x + -5x 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2aekqrsux + 1aeqrsux + 2k + -2kx + -5x = 0 The solution to this equation could not be determined.
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