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